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In this paper, we present a generalization of one of the theorems in [G. E.Andrews, Partitions with parts separated by parity, \textit{Annals ofCombinatorics} \textbf{23}(2019), 241 - 248], and give its bijective proof.Further variations of related partition functions are studied resulting in anumber of interesting identities.

On Andrews' partitions with parts separated by parity