When it comes to expressing the concept of battling and persevering, there are many alternative phrases to the commonly used "fights it out." One possibility is "perseveres," which relates to the idea of continuing on despite obstacles or setbacks. Another synonym is "struggles," which conveys the notion of exerting great effort or strain in pursuit of a goal. "Endures" might be used to suggest sustaining hardship or suffering over an extended period of time, while "resists" implies a more defensive approach to conflict. Other possibilities include "confronts," "grapples," "tackles," and "wrestles." Each of these synonyms has a unique nuance that can lend greater depth and specificity to one's writing.