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We present measurements of the branching fractions $\mathcal{B}({B}^{0}\ensuremath{\rightarrow}{D}^{*\ensuremath{-}}{D}_{s}^{*+})$ and $\mathcal{B}({D}_{s}^{+}\ensuremath{\rightarrow}\ensuremath{\phi}{\ensuremath{\pi}}^{+})$, based on $123\ifmmode\times\else\texttimes\fi{}{10}^{6}\text{ }\ensuremath{\Upsilon}(4S)\ensuremath{\rightarrow}B\overline{B}$ decays collected by the BABAR detector at the PEP-II asymmetric-energy ${e}^{+}{e}^{\ensuremath{-}}\text{ }\text{ }B$ factory. A partial reconstruction technique is used to measure $\mathcal{B}({B}^{0}\ensuremath{\rightarrow}{D}^{*\ensuremath{-}}{D}_{s}^{*+})$ and the decay chain is fully reconstructed to measure the branching fraction product …