We investigate in a phenomenological way, direct CP violation in the hadronic decays B ±,0 → π + π − K ±,0 where the effect of ρ − ω mixing is included. If N ef f c (the effective parameter associated with factorization) is constrained using the most recent experimental branching ratios (to ρ 0 K 0 , ρ ± K ∓ , ρ ± K 0 , ρ 0 K ± and ωK ± ) from the BABAR, BELLE and CLEO Collaborations, we get a maximum CP violating asymmetry, a max , in the range −25% to +49% for B − → π + π − K − and −24% to +55% forB 0 → π + π −K 0 . We also find that CP violation is strongly dependent on the Cabibbo-Kobayashi-Maskawa matrix elements. Finally, we show that the sign of sin δ is always positive in the allowed range of N ef f c and hence, a measurement of direct CP violation in B ±,0 → π + π − K ±,0 would remove the mod(π) ambiguity in arg − VtsV ⋆ tb VusV ⋆ ub .