The phrase "bound up with" is often used to describe how two or more things are connected or intertwined. There are several synonyms that can be used in place of this phrase, including "linked to," "associated with," "connected to," "related to," and "tied to." All of these phrases convey a similar meaning and can be used interchangeably depending on the context of the sentence. For example, "The success of the project is closely linked to the efforts of the entire team" can also be rewritten as "The success of the project is bound up with the efforts of the entire team." Using synonyms can help improve the variety and flow of your writing.