There are several synonyms for the phrase "moved forward" that can help make your writing more dynamic and interesting. Instead of using the same phrase over and over again, you can try using words like advanced, progressed, proceed, pushed ahead, continued, or surged. Other options include forged ahead, propelled forward, made headway, or marched on. Each of these phrases conveys a sense of moving forward, but with unique nuances that can help you better communicate your intended message. Experiment with these different terms to find the one that best fits the context and tone of your writing.