When two parties are in conflict, it's important to find a way to resolve the issue in a productive manner. Some possible synonyms for the phrase "fight it out" could include "hash it out," "resolve the problem," "settle the dispute," "come to a compromise," "reach an agreement," or "work towards a solution." These phrases emphasize the importance of finding a resolution and moving forward, rather than simply battling it out until one side emerges victorious. By using more constructive language, individuals can approach conflicts in a way that promotes cooperation and positive outcomes for everyone involved.