'got it sorted out' is correct and can be used in formal and informal written English.
For example: We've been having issues with the printer, but I've got it sorted out.
Time to get it sorted out and move on.
"I'll spend more time practising than on the course the next three days because I want to get it sorted out".
"I am confident that we will get it sorted out today," he told ABC's Good Morning America.
"If you want or need access to your pension before you turn 55, you need to get it sorted out quickly.
Will any of them just confess to the police and get it sorted out in a manner mutually amenable to all parties?
"I'm planning on her getting it sorted out, and I'm planning on my daughter going back there," Ms. Green said.
"But we've divided one composite nation into two and everyone at home goes round saying what a swell the new viceroy is for getting it sorted out so quickly".
"So for me today the biggest thing we'll do is make women realise that there's this massive inequality and I hope it'll start the progress of getting it sorted out".
