move ahead

Verb

Meaning

to continue without being distracted; to keep going

(figuratively, by extension) to proceed; to make or signify progress
the construction project is moving ahead

(figuratively, by extension) to go on to something else
the committee moved ahead to the next item on the agenda

Source: en.wiktionary.org

progress go ahead gain ground go on move on make way push on keep going make headway scale up move along