There are many synonyms for the phrase "moves past", which means to leave something behind and move on. Some words that can be used to convey this meaning include "progresses", "advances", "proceeds", "marches on", "succeeds", "surpasses", "transcends", "overcomes", "surmounts", "conquers", "outshines", "outpaces", "outruns", "leaves behind", and "goes beyond". These synonyms all speak to the idea of moving forward towards a new goal or leaving a past situation or obstacle in the past, allowing for growth and progress. Exploring different synonyms can add depth and variety to writing and speaking alike.