"Hath it out" is a colloquial phrase that refers to resolving a dispute or argument through a frank and open discussion. There are a few synonyms for this phrase, including "hash it out," "talk it out," and "air it out." All of these phrases convey the same idea of having a transparent conversation to come to a mutual understanding or agreement. Other related synonyms include "discuss it openly," "confront the issue," and "sort it out." No matter the phrasing used, the key takeaway is to have an open and honest conversation to address any conflicts or misunderstandings.