I believe haze can be moisture, dust, smoke or pollution, while mist is always moisture. So sometimes they're the same but often they're not.
Edit: Here are Encyclopedia Britannica entries for haze and mist.
Thanks for your invaluable help.
It's really helpful.
I am clear.
Edit:Sorry, I don't have any context about mist and haze, Forero!
I just learn a new word "haze". And I found they are also translated in the same words in Chinese.
Also, I can't figure out the difference from dictionaries.