J. Nig. Soc. Phys. Sci. 3 (2021) 89–95 Journal of the Nigerian Society of Physical Sciences Investigation of Groundwater Contamination from Akanran Open Waste Dumpsite, Ibadan, South-Western Nigeria, using Geoelectrical and Geochemical Techniques J. O. Cokera,∗, A. A. Rafiub, N. N. Abdulsalamc, A. S. Ogungbed, A. A. Olajidea, A. J. Agbelemogea aDepartment of Physics, Olabisi Onabanjo University, Ago - Iwoye, Ogun State, Nigeria bDepartment of Physics, Federal University of Technology, Minna, Niger State, Nigeria cDepartment of Physics, University of Abuja, Nigeria dDepartment of Physics, Lagos State University , Nigeria Abstract In recent times, large waste is produced especially in an urban area due to population with careless handling which calls for worries. Hence, the study determines the effect of Akanran dumpsite on the groundwater quality for drinking and domestic purposes. It employs the electrical resistivity and geochemical methods. The Wenner configuration was adopted with constant electrode separation ranging from 5 to 25 m to acquire five profiles within and outside the dumpsite and processed using DIPROWIN 4.01 software. Three (3) Soil and water samples were collected and analysed. The 2-D pseudosection revealed a very low resistivity value of 9.2 ohm-meter and is suspected to be leachate infiltration which migrates to a depth of 7 m. The results of soil analysis show that clay ranges between 9.61 - 18.8 %., silt between 9.27 – 19.7 % and an average bulk density of 1.48 (relatively high for a sandy loam) which suggests that infiltration of the leachate is minimal. The pH of the water sample analysis obtained is 6.9, suggesting acidic concentrates in the groundwater of the study area. However, this pH value for drinking water is within the permissible level of 6.5 – 8.5 indicating that the groundwater in the study area is suitable for drinking and also for other purposes. A Nitrate level of 2.56 mg/l in the water sample falls within 50.0 mg/l, and nitrite level of 0.09 mg/l which is moderate when compared to the permissible level limit of 0.20 mg/l. The concentration of heavy metals in a hand-dug well sample from Akanran dumpsite are Zn (1.81 mg/l), Cu (0.38 mg/l), Cr (0.003 mg/l) which are within the permissible level limit and Pb (0.21 mg/l) which recorded high metal concentration which may suggest that the dumpsite contain waste metals which may leach down the soil. In conclusion, the groundwater in the area of the survey is safe for drinking, domestic purpose and agricultural use; and there is high toxicity level and possible leaching of lead. DOI:10.46481/jnsps.2021.166 Keywords: Contaminants, Geochemical, Leachate, Resistivity, Dumpsite Article History : Received: 11 February 2021 Received in revised form: 10 May 2021 Accepted for publication: 13 May 2021 Published: 29 May 2021 c©2021 Journal of the Nigerian Society of Physical Sciences. All rights reserved. Communicated by: O. J. Abimbola ∗Corresponding author tel. no: +2347032261146 Email address: coker.joseph@oouagoiwoye.edu.ng (J. O. Coker) 1. Introduction To get rid of waste generated, many dumpsites around the country have been overfilled and causing environmental pollu- tion. Contamination of groundwater is a major issue in a dump- site, as leachate may infiltrate the aquifer. The quantity and 89 Coker et al. / J. Nig. Soc. Phys. Sci. 3 (2021) 89–95 90 the concentration of the toxic fluid (leachate and gases) pro- duced depend on the age of the landfill site, types and amount of soil vegetation cover, the geology of the area, amount of precipitation, types of wastes, and the inflow of groundwater [1]. Leachate from open dumpsites and landfills usually con- tain chemical and biological constituents [2]. The leachate flows downward and outward from the dump- site and this downward flow may threaten springs at the periph- ery of the landfill [3]. As leachate moves downward, it mixes with the groundwater in between the pore-spaces within the soil, and this moves through the groundwater’s path as plumes of contaminated groundwater. Leachate generated in a dump- site is always associated with a high concentration of ions which results in very low resistivities of host rocks or formation [4]. Therefore, the direct current resistivity method, induced polar- ization, and very low-frequency Electromagnetic method are parts of the methods that could be used to effectively map leachate plume zones [5]. Water pollutants come not only from urban and municipal wastewater discharges, but also from non-point sources, some of which are not perceived as such. Most of the non-point sources have been initially recognised as such by groundwater experts [6] who realized that soil (urban or rural) was an im- portant means of transporting pollution to ground and surface water through complex interactions [7]. Various hazards are as- sociated with the waste dumpsites, e.g. surface water contami- nation, groundwater contamination, bad smell or odour, release of greenhouse gases, accidental hazard caused by fire, slope in- stability, loss of vegetation, soil contamination and bird-hit [8]. Similarly, many of the above mentioned hazards were associ- ated with Akanran dumpsite, such as bad odour, loss of vegeta- tion and electronic waste. Escherichia coli, better known as E. coli, are a common and diverse group of bacteria found in food, the environment, and in the intestines of both people and certain warm-blooded animals. While E. coli has a bad reputation, the truth is that most strains of E. coli are actually harmless. And some strains are essential to good health, according to the Centers for Disease Control and Prevention (CDC); E. coli produces vitamin K and vitamin B12, and maintains a protective space in your gut for other beneficial bacteria. Resistivity imaging is relatively less expensive, non-invasive, and has proved very useful in environmental and engineering problems such as investigation of landfill sites and detection of bedrock contamination [9]. The integrated geophysical meth- ods including the 2-D resistivity survey, VLF-EM, and seismic survey have provided major tools in environmental studies [10]. Leachate from the dumpsite always polluted the groundwater, most especially the hand-dug wells situated near the dumpsites, thereby putting the health of the people under threat. The impact of solid waste disposal on the groundwater within the vadose and saturated zone of two dumpsites namely Aba- Eku and Ajakannga in Ibadan Metropolis was investigated by [11] using Vertical Electrical Sounding (VES) to determine the depth and thickness of subsurface layers. The result from the VES data gives a qualitative lithology of topsoil and clayey soil (aquitard) which has a low resistivity zone ¡ 100 Ohm-m, un- derlain by higher resistive basement. A geophysical investigation involving 2D resistivity survey on Aba Eku dump site in Southwestern Nigeria was carried out by Ganiyu et al. [12] with a view to map the conductive leachate plume and extent of migration of leachate plumes in the subsurface for possible groundwater contamination. The 2D resistivity survey was carried out using Wenner array con- figuration of electrode spacing distance ranging from 5 – 25 m. The inverse resistivity models of the subsurface from 2D imag- ing revealed low resistivity value less than 10 Ωm suspected to be leachate infiltration. The extent of leachate migration was up to a depth of about 4 m, an indication that the underlying layer has a greater risk of contamination by leachate and decomposed solid waste materials. In this study, electrical resistivity and geochemical studies were carried out on an open waste dumpsite in Aba-Eku (Akan- ran), Ibadan, to ascertain the impact of leachate on the ground- water system. The specific objectives are; to examine the health implication of the leachate generated in the landfill on the in- habitants living near the study area through geochemical anal- yses of water and soil samples around the study area and to evaluate the groundwater conditions for drinking and domestic purposes. 1.1. Location and the Geologic Settings of the Study Area Ibadan is Africa’s largest indigenous settlement located in Southwestern Nigeria with a population of over 2.6 million peo- ple according to the 2006 National Census survey. Ibadan lies approximately on longitude 3o 35 ′ to 4o 10 ′ E and latitude 7o 20 ′ to 7o 40 ′ N at about 145 km northeast of Lagos. In Ibadan city, solid waste generation is on the increase. The city cur- rently generates about 1,618,293 kg of solid waste daily with about 10 % of this evacuated by the Oyo State Waste Man- agement Authority [12] The two local climates experience in Ibadan are the dry season from November to February and the rainy season which runs from March to October, and the tem- perature ranges between 21 oC and 35 oC. Ibadan is a part of the basement complex of the geological setting of Southwest- ern Nigeria (Fig. 1). The basement complex rocks consist of few intrusions of porphyries of the Jurrasic age, the metamor- phic rocks of Precambrian age, and granites. Aba Eku is mainly underlain by the quartzite and quartz schist (Fig. 1). The com- mon rocks in many parts of Ibadan are the weathered regoliths. In Ibadan, over 75 % of the rocks are banded gneiss while au- gen gneisses and quartzites share the remaining in about equal percentages [13, 14]. 2. Materials and Method The 2-D resistivity technique is widely used in the inves- tigation of contaminants at both the saturated and unsaturated zones [16]. To take a measurement, current was injected through the outer current electrode pair into the ground which gener- ated a potential difference measured by the inner potential elec- trodes. 90 Coker et al. / J. Nig. Soc. Phys. Sci. 3 (2021) 89–95 91 Figure 1. A Generalized geological map of Ibadan showing Akanran Dumpsite [15]. Two dimensional (2D) electrical resistivity surveys were carried out within the dumpsite using Campus Tigre model re- sistivity meter. Four (4) profiles (P1, P2, P3, and P5) were mapped out within the refuse dumpsite and a control profile (P4) using the Wenner array configuration. Fig. 2 shows the data acquisition map for Akanran dumpsite. The electrode sep- aration distance for each traverse ranged from a = 5 m to a = 25 m with a station interval of 5 m. The traverse length ranged from 100 m to 150 m. The Wenner array has the strongest sig- nal strength when compared with other arrays and its geometric factor is 2πa [12]. The acquired field data was processed using the DIPROfWIN software. The software iterated the data before giving out the final Resistivity structure. Soil influences the rate of leachate migration hence; in this study, soil samples were taken from the dumpsite and subjected to sieve analysis to determine its textural characteristics and physical properties. The in-situ soil samples were collected at three different points within the study area and another three samples were collected outside the dumpsite serving as the con- trol. At each sample point, two samples were collected from 0- 20 cm and 20-40 cm depths using a soil auger and a cylindrical core of diameter 5 cm and height 5 cm. The collected soil sam- ples were allowed to pass through 2.00 mm sieve to remove any plant materials after been air-dried and a modified Boyoucos hydrometer method described by Grossman and Reinsch [17] was used to determine the properties of sand, silt, and clay. The soil textural class was estimated using a textual triangle. Bulk density [17] was evaluated by using equations 1, 2 and 3 Pb = Ms(g) Vb(cm3) (1) where Pb is the soil bulk density (gcm−3); Ms = the mass of oven-dried soil (g) and Vb = the volume of the soil/cylindrical core (Vb = πr2h; r being the internal diameter and h the height Figure 2. Map of Akanran dumpsite showing the distributions of the 2- D Electrical Resistivity Profiles, Water sample, and Soil sample points. of the cylindrical core). Total porosity (TP) is: Tb = [ 1 − Pp Ps ] × 100 (2) where T p = the total porosity (%); Pb = the soil bulk density (Mgm−3); Ps = the soil particle density with a constant value of 2.65Mgm−3. According to Reynolds [5] and transposed Darey’s equation for a vertical flow of liquid: Ks = QL tA(∆H) (3) where Q = the volume of water that flows through the soil col- umn at equilibrium; A is the cross-sectional area of flow (soil core) through the soil column; t is the time interval (hr.); L is the length of soil column (cm) and ∆H is the hydraulic head (cm). ∆H = L + hw where hw is the head of water above the soil column. 50 g air-dry soil (¡ 2 mm) was weighed into a 100 mL glass beaker and 50 mL distil water added by the volumetric flask. The mixture was done in a glass rod and stirred every 10 min- utes. The pH meter was calibrated and the combined electrodes were put in suspension (about 3 cm deep) and read after 30 sec- onds with one decimal. Water samples were collected at three different points and analysed to determine the E. coli, total organic carbon, total dissolved solids, nitrate, nitrite, COD, pH, sodium (Na), sul- phate (S O4), Chromium (Cr), copper (Cu), Lead (Pb) and zinc (Zn). Apparatus which include pH meter with Combined Elec- trode, Beakers: polyethylene, TFE beakers, plastic, Wash bot- tle, Reagents were used. Total dissolved solids are given in equation 4 T otal Dissolved S olid s = ( mg L ) Wt(d+s) − Wt(d) V ×1000(4) 91 Coker et al. / J. Nig. Soc. Phys. Sci. 3 (2021) 89–95 92 where Wt(d+s) = Weight of dish plus solids (mg), Wt(d) = Weight of dish before use (mg), s = solids (mg) and V = volume of water sample used for measurement (mL). 0.5-1.0 g air-dry soil (0.15 mm) was weighed into a 300 mL calibrated digestion tube, 3 mL concentrated HNO3 added, and swirled, and then the tubes were placed in the rack. The heavy metals such as Cu, Zn, Fe, Mn, Pb, Cr, Cd, Ni, and Co were determined using Atomic Absorption Spectrophotometer. All statistical analyses were conducted using the replicated data collected for water and soil samples. Using the Duncan Mul- tiple Range Test (DMRT) at 5 % probability, the Mean of soil samples was differentiated. 3. Results and Discussion The inverted 2-D resistivity pseudosections are hereby pre- sented in Figures 3 to 7. Profile 1 (Fig. 3) shows the layers of the subsurface, the topsoil has a low resistivity values ranging between 3 to 11 Ωm at depths 0 to 5 m. Figure 3. 2-D Electrical resistivity pseudosection for profile 1. The thin weathered layer which underlies the first layer has true resistivity value between 22 - 76 Ωm indicating clayey ma- terial. The last layer has resistivity values between 76 - 373 Ωm at depths 10 – 25 m. Although between the distances of 25 m - 45 m exists a depression to a depth of about 16 m which could be a fractured zone. The uneven nature of the top of the basement rock is due to uneven weathering around the area investigated. Figure 4 presented profile 2 indicating extensive contamina- tion of topsoil (regolith) from the ground surface to 5 m as the resistivity of the topsoil is less than 100 Ωm over the horizontal extent. An intermediate resistivity layer occurred at the inter- mediate depth zone between 5 and 10 m indicating the pres- ence of lateritic clay at the topsoil (regolith) with the resistivity ranging from 100 – 141 Ωm. A thick layer with a compara- tively high resistivity above 423 Ωm was also observed below the layers of low to intermediate resistivity rocks. Bedrock re- sistivity is higher 400 Ωm at shallow depth. The contaminant here is limited to the topsoil because the basement is close to the surface so; the plume cannot migrate to the subsurface but can flow within the topsoil and migrate to another location. Figure 5 shows the inverted 2D Electrical resistivity sec- tion for profile 3 conducted North-western part of the dumpsite showed that the topsoil is extensively contaminated at a hori- zontal distance 10 - 45 m with resistivity values lower than 22 Figure 4. 2-D Electrical resistivity pseudosection for profile 2. Ωm to a depth of about 2 m. There is evidence of low resistive region inferred as clayey material at the horizontal distances of 11 - 90 m, at a depth of 5 m to 6 m, and according to Urish [18], high contaminant is suspected. An intermediate zone with resistivity range from 55 to 200 Ωm at a depth of 6 and 15 m which is part of the weathered zone but it is lateritic The con- taminant plume may not be able to seep through it because of its impermeable nature. The resistivity value of 232 Ωm was observed at a depth of 20 m which indicates fresh rock material without any structural pattern like faults. Figure 5. 2-D Electrical resistivity pseudosection for profile 3. Figure 6 shows profile 4 the control, with a low resistivity value between 11 Ωm and 20 Ωm at the surface with a thin depth at a horizontal distance of 30 – 45 m and 105 m to 125 m. The uppermost layer is underlain with resistivity range values from 50 to 170 Ωm at a depth of 4 to 7 m which is part of the weathered zone but it is lateritic. The compacted lateritic clay outcrop at the surface between 55 m and 110 m as observed in the field during data acquisition. The compacted lateritic clay will not allow the plume to percolate through it to affect the subsurface beyond the surface layer. Any plume around this area will flow to nearby streams or to another region where it can percolate to the subsurface. A very high resistivity value of 400 Ωm and above, at a depth of 12 m was recorded and interpreted as a fresh rock material. This is so because, this profile is 200 m far away from the dumpsite unlike other profiles that are within the dumpsite. The contaminant at profile 2 is limited to the topsoil; a high contaminant is suspected at profile 3, in profile 5, the topsoil has very low resistivity values due to contamination from the plume that seeps out of the waste and saturated it. This shows a significant water quality variation with increasing distance from the dumpsite. 92 Coker et al. / J. Nig. Soc. Phys. Sci. 3 (2021) 89–95 93 Figure 6. 2-D Electrical resistivity pseudosection for profile 4. Figure 7 presented profile 5 with resistivity values between 16 – 40 Ωm at the topsoil. The topsoil has very low resistivity values due to contamination from the plume that seeps out of the waste and saturated it. Underlies this layer is a zone with re- sistivity range from 50 to 200 Ωm at a depth of 5 to 9 m which is part of the weathered zone but it is lateritic. The compacted la- teritic clay serves as seals for the subsurface aquiferous zone if exist around the area and will not allow percolation of the plume to the subsurface. A very high resistivity value of 240 Ωm, at a depth of 10 m was recorded and interpreted as a fresh rock material. Resistivity distributions observed at greater depth are high when compared with low resistivity values observed at the surface. The uneven surface of the basement rock is as a result of weathering which has affected the hard rock. Figure 7. 2-D Electrical resistivity pseudosection for profile 5. Results of the geochemical method are discussed below start- ing with the presentation of soil analysis as shown in Table 1. 3.1. Discussion on Geochemical Analysis 3.1.1. Soil Sample Analysis The results of the sieve analysis show that the dominant lithology was sand. As depicted in Table 1, the soil at Akanran on-the-spot (onsite) has 66.6 % of sand while the soil at loca- tion away from the site (offsite) which serves as the control has 81.1 % of sand indicating an abundance of loosely soil particles. The silt content for onsite is 14.6 % while the offsite is 9.27 %. The clay content shows 18.8 % onsite and 9.61 % offsite, a rel- atively low content interpreted as low protective capacity which confirmed easy migration of the plumes/leachate. Other prop- erties include soil pH, total porosity, bulk density, and hydraulic conductivity. The mean pH value of the soil samples for onsite is 6.4 (greater than that of the control) near the values of the work of Ewemoje et al. [19] with pH values ranging between 6.5 and 7.5. The mean pH value recorded for offsite in this work is 5.9. As the sand becomes increasingly clayey with depth at the offsites which stand for the control, fluids in the intergranular pores spaces are displaced, thereby increasing the bulk density with an average value of 1.62 g/cm3 indicating a reduction in permeability from the topsoil down the depth but at the onsite, the bulk density is lower with average values of 1.37 g/cm3. Therefore, with 9.61 - 18.8 % clay, 9.27 – 19.7 % silt, and an average bulk density of 1.48 (relatively high for a sandy loam) one can say that infiltration of the leachate will be minimal. The soil porosity at the onsite and offsite of the dumpsite ranges from 39 to 48.2 % which could be considered high but, that of the offsites (control) is higher. The hydraulic conductivity of 2.58 cm/hr at the onsite and also 3.0 cm/hr at the offsites are considerably low but, that of the control is higher because of the distance is far away from the dumpsite. 3.1.2. Water Sample Analysis Table 2 shows the results of the presentation of water anal- ysis. The concentration of Enterococci levels (E coli) (cfu/100 ml) in the water samples of Akanran dumpsite is shown in Ta- ble 2 (0.45 ml) which exceeds the permissible level (20) limit of 0.00 ml and indicating the presence of an anomaly in the body of water at minimal concentrations but, for the control sample, the value is less (0.03 ml). The pH of the water sample analysis obtained is 6.9, suggesting acidic concentrates in the ground- water of the study area. However, this pH value fall within the permissible level (20) of 6.5 – 8.5 for potable water shows that the groundwater in the study area is suitable for drinking although the control sample value is 6.45. The Total Organic Carbon (TOC) with a value of 2.14 mg/l is less than the control sample value of 0.67 mg/l and NIS, 2007 recommended value of 5.00 mg/l. The Total Dissolved solid (TDS) is 224.1 mg/l. while that of the control sample is half of the value (112 mg/l) and the permissible level (20) limit of 500 mg/l, hence the water is suitable for drinking and also for domestic purposes (Fig. 8). Nitrate level in the study area is 2.56 mg/l and it leaches into the groundwater in the form of nitrate. Nitrate is not a threat to health issues unless it is reduced to nitrite of high con- centrations but in this study, nitrate levels in the water sam- ples are within the permissible level (20) limit of 50.0 mg/l and the nitrite level was 0.09 mg/l (greater than the control sample value of 0.03) which is moderate when compared to the NIS permissible level (20) limit of 0.20 mg/l. This suggests that the groundwater in the area of the survey is safe. The chemical oxy- gen demand (COD) of 167.1 mg/l is higher than the permissible level (20) of 150 mg/l and does pose a minimal threat. But, the control sample value of 92.0 mg/l is less than the permissible level and is very safe water quality in the control sample area because, it is far from the dumpsite location. 93 Coker et al. / J. Nig. Soc. Phys. Sci. 3 (2021) 89–95 94 Table 1. Results of soil Analysis [Treatments with the same letter(s) in each property do not differ significantly (P < 0.05); NS indicates not significant at a 5 % level. CV %: Coefficient of variation]. Treatment pH Sand Silt Clay BD TP Ks (1:1 H2O) (%) (%) (%) g/cm3 (%) (cm/hr) Akanran Onsite 6.4 66.6 14.6 18.8 1.37 48.2 2.58 Akanran Offsite 5.9 81.1 9.27 9.61 1.62 39.0 3.00 Depth 0 - 2 cm 6.3 NS 70.5 NS 14.2 NS 15.3 NS 1.48 NS 44.0 NS 2.36 NS 20 - 40 cm 6.2 70.9 13.6 15.5 1.48 44.2 2.16 CV% 4.0 3.0 20.4 12.5 1.2 1.5 24.6 Table 2. Results of Water Analysis [LSD: Least Significant Difference]. Test Elements Hand Dug Control LSD Permissible (mg/l) Wells Value (P < 0.05) Level (20) E. coli (cfu/100 ml) 0.45 0.03 1.61 0.00 Total Organic Carbon 2.14 0.67 3.06 5.00 Total Dissolved Solids 224.1 112 314.9 500.0 Nitrate (NO3) 2.56 1.22 2.90 50.0 Nitrite (NO2) 0.09 0.03 0.14 020 Chemical Oxygen Demand 167.1 92 217.9 < 150.0 pH 6.9 6.45 1.2 6.5 - 8.5 Sodium (Na) 3.44 2.43 1.98 200.0 Sulphate (S O4) 4.88 3.35 1.71 100.0 Zinc (Zn) 1.81 1.24 1.34 3.00 Copper (Cu) 0.38 0.08 0.57 1.00 Lead (Pb) 0.21 0.02 0.76 0.01 Chromium (Cr) 0.003 0.001 0.006 0.005 Figure 8. The mean values for TDS, Nitrate, COD, Sodium, and Sul- phate against NIS values. The concentrations of sodium ion (Na+) and sulphate ion (S O2−4 ) for Akanran dumpsite is 3.44 and 4.88 mg/l and rel- atively low when compared to their permissible level limit of 200 and 100 mg/l, respectively [20]. Sodium saturated soils are not healthy to plant growth according to Davis and De Wiest [21]. The concentration of heavy metals in well sample from Akan- Figure 9. The mean values for E-coli, TOC, Nitrite, pH, Zinc, Copper, Lead and Chromium against NIS values. ran dumpsite were Zn (1.81 mg/l), Cu (0.38 mg/l), Pb (0.21 mg/l), Cr (0.003 mg/l) (Fig. 9). Results obtained for lead shows a high concentration value above the recommended value of 0.01 mg/l [21]. According to USDA [22], heavy metals occur naturally, but rarely at toxic levels. The above listed heavy met- als concentration values are below the recommended values of the Standard Organisation of Nigeria (SON) [20], including the 94 Coker et al. / J. Nig. Soc. Phys. Sci. 3 (2021) 89–95 95 control sample values except for Lead metal although, the con- trol sample value of 0.02 mg/l is approximately the same with the permissible level without any hazard. The high concentra- tion of lead in the study area could be due to the presence of waste containing fuel and engine oil in the dumpsite. 4. Conclusion The effect of Akanran dumpsite on groundwater quality for drinking and domestic purposes is minimal. The results of the 2-D resistivity survey give resistivity value of 9.2 Ωm indicat- ing the presence of leachate. The extent is within the topsoil, an indication that the underlying layer has a greater risk of con- tamination by leachate and decomposed solid waste materials. However, the geochemical results also shown possible contam- ination with time. The pH of the water sample analysis obtained is 6.9, sug- gesting acidic concentrates in the groundwater of the study area. However, this pH value for drinking water is within the per- missible level of 6.5 – 8.5 indicating that the groundwater in the study area is suitable for drinking, domestic purpose and agricultural use; and there is high toxicity level and possible leaching of lead. Hence, the combined techniques gave a better understanding of the study area than using a single investigative method. 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