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.
(..) I'd hand you both over to the Lannisters. - Why don't you? - Stark, Tully, Lannister, Baratheon. Give me one good reason why I should waste a single thought on any of you? - And...engage! When does Aemon think you'll be able to use that hand? - Soon, he says. - Good. You'll be ready for this, then. (..)2011 TvShow: Game of Thrones Title: Baelor Season: 1 Episode 9