There are plenty of synonyms for the phrase "try repeatedly," each with its own connotation and nuance. An individual might "persevere" through a challenging task or "persist" until they find a solution. They could also "strive" to achieve something, putting in effort and dedication to reach their desired outcome. Other synonyms may include "endeavor," "attempt," "undertake," or "work at." Each of these words implies a level of dedication and effort towards achieving a goal, with the understanding that success may require multiple attempts. Regardless of the specific synonym used, the underlying message is clear: keep trying until you achieve your desired outcome.