"Put the outs" is a phrase commonly used in baseball to signify the successful removal of players from the field and the end of an inning. However, there are several synonyms that can be used in place of this phrase. Some of the most common ones include "retire the side", "get three up, three down", "record three outs", and "end the inning". These synonyms can add variety and interest to commentary and conversation about baseball games. Additionally, using different synonyms can help avoid repetition and keep the language fresh and engaging. Overall, there are many effective ways to express the successful completion of an inning in baseball.