They believe that the only hope for the French left is to start afresh.

他们认为留下来的法国人的惟一希望是重新开始。

It was a chance to start afresh.

这是个重新开始的机会。

Let bygones be bygones. Let's start afresh.

我们忘记过去，重新开始吧。

It does mean you have a reason to start afresh.

它是指你有理由重新开始。

I've spoiled the painting and must start afresh.

我弄坏了这幅画，必须再重画一遍。