The phrase "hath a lot to do with" can be replaced with various synonyms to enhance writing. Some of the alternatives include "is closely connected with," "is highly relevant to," "has a significant impact on," "plays a crucial role in," and "is heavily influenced by." These synonyms help to provide a more precise definition of the relationship between two things or concepts. By using these alternative phrases, writers can communicate their ideas more effectively and improve the clarity and flow of their writing. In conclusion, understanding alternative synonyms enhances language skills and makes writing more engaging and interesting.