run its course

按常规进行 顺其自然

he was pretty much going to stay out of the case until the legal process had run its course。
他在法律程序结束之前不会干预这个案件。

stay out of ：不参与，置身于。。。外

At first he decided to let the mild illness run its course.

开始他决定让这个小病听其自然。