Have you ever had those raids where your fire team just doesn't work to you. Either if they just suck, or one of them dropped the n word. You just start thinking HOW can I leave politely or what can I say that is really random and stupid and will confuse them to make my escape? I've gone between saying I've played too much destiny and my eyes hurt or my hamster just got the news that he's been accepted to university, depending on the group.
EDIT: if you want Leave your best leaving lines, serious or not.
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Happens pretty rarely, but If people are being complete dicks, or it's just a generally unpleasant group for whatever reason, I'll just bail. If the fireteam is cool, but there are way too many wipes for whatever reason and the raid just isn't happening, I'll usually say that I have a couple more tries in me then I have to go.