The phrase "redound to" is a common idiom in English used to describe the idea of having a positive effect or consequence. However, there are many other synonyms for this phrase that can be used instead to convey the same meaning. These include terms such as "contribute to," "benefit," "assist," "aid," "serve," and "pay off." All of these phrases can be used to describe a beneficial outcome or an action that leads to a positive outcome, and they are often used interchangeably in academic and professional settings to convey this sense of success or achievement.