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.
(..) From yourselves. Captain! - You all right? - Ay, Captain, but we are trapped. Can you get it started? Are you intending to engage the thrusters? I am open up for suggestions. Okay. - There's the problem, sir. - What? It's a pipe. (..)2016 Star Trek Beyond
(..) - Why the hell aren't we moving? - I can not heat the warp drive, sir. Scotty, I need warp now. I can not, sir. ...they are gone. Security, engage all emergency procedures. All personnel to emergency stations. I have hull breaches in levels to , , , and , sir. Captain, in a sec I could reroute (..)2016 Star Trek Beyond