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The combined symmetry of charge conjugation and parity (CP) is tested in the hadronic transition ψ(3686)→π+π-J/ψ, using a dataset of (2712.4±14.3)×106 ψ(3686) events collected by the BESIII detector at the BEPCII collider. The resulting asymmetry observable is ACP=(0.6±1.8±0.1)×10-4, which is determined by combining the two channels J/ψ→e+e- and J/ψ→μ+μ-. Additionally, by considering the relationship between the chromoelectric dipole moment (CEDM) and the ACP observable derived from the quantum chromodynamics multipole expansion theory based on the Chen-Kuang model and the Cornell potential model, we obtain the results of charm quark's CEDM with dc′=(2.6±7.8±0.4±0.6)×10-16 e cm, and dc′=(3.5±10.5±0.6±0.5)×10-16 e cm, respectively. The uncertainties are statistical, systematic, and theoretical, respectively. These results correspond to an upper limit of |dc′|