keep doing sth.

例句：

You just have to keep yourself busy and keep going.

I keep making the same mistakes.

She forced herself to keep going.

go on doing sth.

例句：

The board continued the investigation.

Let's keep on doing it.

go on to do sth.

例句：

After finishing the homework, she went on to read a book.

keep on doing sth.

例句：

We must keep on moving forward.

这些短语都可以有效地表达“继续做某事”的意思，可以根据具体的语境选择合适的表达方式。