go on with

go on with (something)

To continue or proceed, especially despite problems or challenges. Oh, we're going on with our weekend plans—I refuse to let a little rain stop us!
See also: go, on

go on with something

 and go on doing something
to continue with something. I can't go on with this. I have to rest. You simply cannot go on behaving like this!
See also: go, on
References in classic literature ?
She was only thinking she could never stay here and go on with the old life--she could better bear something quite new than sinking back into the old everyday round.