We ENGAGED in intimate relations.
Game of Thrones Season 5, Episode 6
the obvious answer is,
they ENGAGED in coitus.
The Big Bang Theory Season 5, Episode 1
You know, who said
I even want to be ENGAGED to him?
The Big Bang Theory Season 9, Episode 14
got ENGAGED, had a scary mole
that turned out to be sharpie.
The Big Bang Theory Season 10, Episode 22
Actually, I'm not new to this.
I was ENGAGED to a Scientologist.
The Big Bang Theory Season 10, Episode 21