Description of the noise removal algorithm

I want to remove noise from animal vocalizations, but to apply it correctly for further work, I need to know what algorithm is used in Audacity for this.

I am not interested in the specific code, I just want to find out what procedure is performed. In old posts they referred to the Audacity Wiki, where this algorithm should be described. But now this wiki is no longer functioning. I found Wiki Dump, but I have not been able to open it yet.

Please help me find a description of this algorithm. (Maybe it also differs in different versions?)

The page is available on the Internet Archive site: