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How about the expression 'get it out of my hair?' as in:

Anyway, since our organization agreed to the $300 deal, I think we should pay the full amount to keep our good reputation intact. And I really would like to get this issue closed and out of my hair!

So this expression must mean getting something annoying out of one's hair or getting a closure on an issue. But what is 'it' that the phrase refers to?
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IT means to get rid of and solve a problem. So the 'it' in this sentence refers to the 'issue' (whatever that is). There is a famous song called 'I'm gonna wash that man right out of my hair.....and send him on his way'.
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Thanks for your reply nona.

Do you know how the phrase originated? Is it from a book or some folklore? In which case 'it' would refer to something specific, although one can apply the phrase to mean anything annoying.