“Just what does this job 'involve'?” “It 'involves' [='entails'] traveling and a lot of overtime.”
No one knew of their romantic 'involvement'. [=no one knew that they had a romantic relationship]
The accident 'involved' three cars. = Three cars were 'involved' in the accident.
(..) Who or what is Mr. Charles? It's a gambit designed to turn Fischer against his own subconscious. ARIADNE: And why don't you approve? It involves telling the mark that he's dreaming... ...which involves attracting a lot of attention to us. - Didn't Cobb say never to do that? - Hmm. (..)2010 Inception
(..) 'It was Ricki Tarr.' 'Why are you telling me? ' - 'It could be coincidence...' - 'You are a poisoned dwarf. 'Why don't you fuck off to his Majesty 'and stop trying to involve me in your cabaret? ' 'Mr Esterhase: "It could be coincidence but... " 'Mr Haydon interrupting. "'You really are a poisoned dwarf, Toby. "'Why don't you fuck off to his Majesty "'and stop trying to involve me in your cabaret?"' You look tired. I didn't sleep well. You're going to do something for me, Peter. (..)2011 Tinker Tailor Soldier Spy
(..) I have yet to make. All right, fair enough. I can appreciate that. All right. First let me say, I very much regret involving you in this. This was... This entire thing was unfortunate. Unfortunate? And I apologise deeply. Thank you. (..)2009 TvShow: Breaking Bad Title: Peekaboo Season: 2 Episode 6