When it comes to synonyms for the phrase "sticks at", there are a few great options to choose from. One equivalent expression includes "persists in," which suggests a level of determination or steadfastness in overcoming obstacles. Another synonym for "sticks at" could be "endures," which similarly implies holding on to something or enduring through challenging circumstances. Other options include "lingers" or "remains," as these words imply a sense of longevity or persistence as well as an ability to stick to something despite potential setbacks. Ultimately, the perfect synonym for "sticks at" will depend on the context and tone you are looking to convey in your writing.