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In this talk I report recent results on hadronic B decays obtained with the QCD factorization approach. In the first part I update the fit of the Wolfenstein parameters (\bar\rho,\bar\eta) to CP-averaged B -> pi pi, pi K branching fractions, and give the correlation between the time-dependent and direct CP asymmetry in B_d -> pi^+pi^- decay. In the second part I present an investigation of B decays into final states containing an eta or eta^\prime meson. I discuss the new theoretical issues that arise for flavour singlet mesons and present preliminary numerical results that appear to reproduce the pattern of experimental data reasonably well.

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