The doctors and nurses did all they could to save the little boy's life.这句话对吗

问题描述:

The doctors and nurses did all they could to save the little boy's life.这句话对吗
我觉得all they could应该改成all they could do才对啊?

这里的all they could do的do就是前面的did,这里的 all they could指所有他们可以(做的事),补充了前面did的内容