or press ahead
1.
If you ~ 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 ~...
Poland pressed on with economic reform.
PHRASAL VERB: V P, V P with n
2.
If you ~, 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