Move forward, also in the metaphorical sense(verb)
WordNet. Princeton University. 2010.
Use "march on" in a sentence
"Garnett's march on the twelfth carried him to Kaler's Ford on the Cheat River, where the men bivouacked in a heavy rain."
"He ended with an ultimatum that if Tawfik had not answered by lunchtime, then the colonels would march on Abdin Palace.26"
"This news only fired the desire of Alexander to march on and conquer lands no other Western ruler, not even the Great Kings of Persia, had dared to dream of."