Due to the mass production of plastic combined with its single use, increasing amounts of plastic waste end up in seas, oceans, soil, and even in the food chains of humans and animals. The process of pyrolysis can be used to solve the problem of waste disposal by processing it into high-value petroleum products. Pyrolytic oils made of plastic or rubber contain a certain amount of sulfur, chlorine, nitrogen, and other impurities that reduce the quality of fuel and need to be purified. This paper focuses on the possibility of using various adsorbents based on bentonite and carbon nanoparticles to reduce the amount of chlorine in pyrolytic oils in plastic and rubber to obtain oil of satisfactory quality to be mixed into commercial gasoline and diesel fuels. The influence of process duration, temperature, and mass fraction of adsorbents, as well as the number of stages of batch adsorption on the process efficiency, was experimentally researched. Also, this paper explored whether the oil acidity affects the adsorption efficiency of chlorine from selected pyrolytic oils. The oil acidity was reduced by solvent extraction with potassium carbonate based deep eutectic solvent. The results showed that, in addition to the types of adsorbents, the oil acidity affects the efficiency of chlorine adsorption from pyrolytic plastic oil to the greatest extent, while the longer duration and work at elevated temperature affects the efficiency of adsorption to a small extent. Increasing the number of adsorbents and the number of adsorption degrees is more conducive to working with more acidic oil. The selected adsorbents did not prove to be efficient for the purification of pyrolytic oil from rubber. Purified and fractionated pyrolytic oil from plastic is mixed into commercial gasoline and diesel fuel, and the parameters of the mixture are determined according to standard, prescribed methods. The prepared mixtures meet the prescribed quality of motor fuels.