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?
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'.
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.