The phrase "hast lot do with" has a few synonyms that can be used interchangeably depending on context. These include "related to," "relevant to," "connected to," and "associated with." All of these phrases convey a similar idea, namely that there is some kind of connection or significance between two things. "Related to" suggests a familial or causal relationship, while "relevant to" indicates that something is important or applicable in a certain context. "Connected to" implies a tangible or physical link, whereas "associated with" suggests a more abstract or intangible connection. Regardless of which synonym is used, they all convey a similar idea of connection or significance.