The phrase "ran around with" typically refers to spending time with someone, often in a social or romantic context. There are several synonyms that can be used to express this same idea. For example, one might say that they hung out with someone, accompanied them, or spent time with them. Other potential synonyms include socialized, fraternized, or associated with. Additionally, phrases like "had a fling with," "dated," or "romanced" could be used to imply a more intimate relationship. Overall, there are many different ways to express the idea of spending time with someone, and choosing the appropriate synonym will depend on the context of the situation.