When it comes to synonyms for out-live, there are a number of words that you can use. One option might be "survive," which implies a sense of resilience in the face of adversity. Another good option might be "outlast," which suggests a sort of endurance over time. Other possible synonyms include "endure," which indicates a sense of strength in the face of hardship, and "weather," which speaks to the ability to withstand the challenges of life. Ultimately, the best synonym for out-live will depend on the context in which it is used, as well as the specific shade of meaning that the writer or speaker is trying to convey.