We obtain an explicit expression for the charge-parity violation (CPV) considering final state interactions (FSI) and the ρ(770) and f0(980) resonances in the B± → π± π+π− decay. In addition, we investigate the channel coupled by the strong interaction B± → π± K+ K-. dictated by the CPT constraint. We use our model to fit experimental data of such decays 1, For the interfering resonant contributions to the CP asymmetry, we show that locally CPT constraint seems to be valid in the B± → π± π+π− channel. Our work suggests, in agreement with the CPT constraint, that the CP asymmetry in coupled channels are related and have opposite signs. Our formula for the CP asymmetry fairly fit the LHCb data improving our understanding of the interplay between the FSI and CP violation. For more complete and detailed studies for the channels K± K+ K-, K± π+π−, π± K+ K- and π± π+π− see Ref. 2,