or press ahead
1.
If you press on or press ahead , you continue with a task or activity in a determined way, and do not allow any problems or difficulties to delay you.
Organizers of the strike are determined to press on...
Poland pressed on with economic reform.
PHRASAL VERB : V P , V P with n
2.
If you press on , you continue with a journey, even though it is becoming more difficult or more dangerous.
I considered turning back, but it was getting late, so I pressed on.
= keep going
PHRASAL VERB : V P