('to put his' could be changed to 'to put her'/'its')
General: The enemy commander is a threat to our freedom.
Soldier: What should we do, sir?
General: We gotta put his head out of the way. We gotta kill him.
A verb complex used in a dating concerning context, which means to give other people and yourself a chance to get to know somebody who might be dating material. This can include being open to new types of people, to not judge directly and not think about the fact too much and just to let it happen.