Hot and Sour Soup is good for around 4 to 5 days in the refrigerator.
After 5 days or so the hot and sour soup will usually start going bad and growing bacteria in it so it should be eaten within a few days for the best taste and freshness.
If the hot and sour soup has been in the refrigerator longer than 5 days then it's likely spoiled or going to be spoiled and should be thrown out.
If you want to keep your hot and sour soup longer than a few days it's best to put the Hot and Sour Soup in a freezer safe container and freeze it.
When frozen the Hot and Sour Soup is good for at least 6 months but can last a year and sometimes longer.
However after 6 months to a year it loses it's freshness but it remains safe to eat as long as it's remained frozen.