I need a translation for the phrase as a whole not two words separately.
I need it in common Chinese if that’s a thing, but I mean the most general simple Chinese there is.
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Cambridge Dictionary: Go places: to be likely to be successful in the future:
It is "有好前途/ 有前途 " (have a great future) in Chinese
如果你想有好前途，你需要跟随我 - If you want to go places (have a great future), you need to follow me
這傢伙終有一天會有好前途 - This guy will go places (have a great future) someday
You can also use 前途光明 (have a bright future)