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Recent Theoretical Developments in CP Violation in the B System

After a brief review of the present status of the standard methods to extract CKM phases from CP-violating effects in non-leptonic B-decays, an overview of recent theoretical developments in this field is given, including extractions of $γ$ from $B\toπK$ and $B_{s(d)}\to J/ψK_S$ decays, a simultaneous determination of $β$ and $γ$, which is provided by the modes $B_d\to π^+ π^-$ and $B_s\to K^+ K^-$, and extractions of CKM phases from angular distributions of certain $B_{d,s}$ decays, such as $B_d\to J/ψρ^0$ and $B_s\to J/ψϕ$.