He tries to keep his private life and public life 'separate' (from each other). = He tries to keep his private life 'separate' from his public life.
('US') He fell and 'separated' [='dislocated'] his shoulder. [=caused the bone in his shoulder to move out of its proper position]
The competition has been easy to this point, but now it gets tough and we'll really begin to 'separate the men from the boys'.
(..) all the worlds align. Imagine... Imagine that this is our world. Oh, thank you. And this is another world. Normally, they're separate. But during the Alignment, everything is connected, all nine realms. All nine realms are passing through each other (..)2013 Thor: The Dark World