“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.
(..) No one just gets as good as you do. Especially you. Start talking! Are you training with someone? Training? It better not involve this. I know this looks really bad, but you see... You're right. You're right. You're right. I'm through with the lies. (..)2010 How to Train Your Dragon