When you think of the phrase "holds down," you may automatically think of controlling or managing something or someone. However, there are several synonyms for this phrase that can add variety and nuance to your language. For example, you could use the phrase "keeps in check" to convey a sense of maintaining control over a situation or person. Alternatively, "restrains" may work if you want to emphasize the physical act of holding something down. "Suppresses" could be used to describe the act of keeping something hidden or quiet. And "subdues" may work if you want to convey a sense of taming or calming something or someone.