In a marriage, love and conflict are 'not mutually exclusive'. [=both love and conflict can exist in a marriage at the same time]
a restaurant that 'exclusively' [='only'] serves vegetarian cuisine = a restaurant that serves vegetarian cuisine 'exclusively'
War and peace are 'mutually exclusive'. [=war and peace cannot exist at the same time]
(..) And I can save the page and Mozilla will save all the images for me. Excuse me! Everybody! You are at one of the oldest, one of the most exclusive clubs, not just at Harvard, but in the world. And I want to welcome you all to Phoenix Club's first party of the fall semester! (..)2010 The Social Network
(..) I didn't mean to be cryptic. I'm just saying I need to do something substantial in order to get the attention of the clubs. ' Why? ' Because they're exclusive. And fun, and they lead to a better life. Teddy Roosevelt didn't get elected president because he was a member of the Phoenix Club. (..)2010 The Social Network
(..) It's a puppy! MUNTZ ALOFT: BREAKS FEET ALTITUDE RECORD What are you doing? Don't you know this is an exclusive club? Only explorers get in here, not just any kid off the street with a helmet and a pair of goggles! - You think you got what it takes? Do you? - I... (..)2009 Up