The phrase "strive for" means to work hard or persistently towards a goal or ambition. There are several synonyms that can be used in place of this phrase. One option is to use the word "endeavor," which means to attempt or try something with determined effort. Other words that can be used include "aspire," which means to have a strong desire or ambition for something, and "aim," which means to focus one's efforts towards a specific outcome. Another option is to use "pursue," which means to actively seek out or work towards achieving a goal or objective. Regardless of the synonym used, the meaning behind "strive for" remains the same - to work hard towards achieving a desired outcome.