I suggest you 'engage' the services of a lawyer. [=I suggest you hire a lawyer]
She 'engaged' him 'in' conversation. [=she started a conversation with him]
The book fails to 'engage with' the problems of our time.
(..) mock your opponent in this fashion? Let him die quickly! With some honor still intact! Coward! Kill me yourself! Balls! King must never engage in a direct battle. Kill the invader now. Do it quickly! Put his head on a spear. - Stop! My lord, the king must not engage in a direct battle. (..)2007 Beowulf