press ahead/on
phrasal verbwithpressverb[IorT]uk/pres/us
tostartorcontinuedoing something in adeterminedway,althoughit isdifficult:
press ahead/on with sthMost of thedelegatessaid theywantedtopressaheadwith thetalks.
Thephonecompanyintendstopresson with thearrangement.