Is it possible to extract the voice from a terrible audio recording?

Question

Sound processing

There are several audio recordings, not even a few, but a lot, you need to pull out the voice at least from 2-3, so that the words would be quite distinguishable and the text could be heard, so that a person could not say, "I don't hear anything."
The recording was made, for everything, phones, computer microphones, homemade microphones, video cameras, webcams, but the most worthy option (worthy in relation to the results of the technique listed above in extreme working conditions) is the display of the iPad and its sound recordings, there are not so many extraneous street noises on it and the like.
But...
The voice is so quiet that when the audio track is displayed, there is a clear band in some places, there are bursts of everything, or there is a band of vibrations of the air conditioner with a refrigerator, and the voice is barely audible behind them, almost a whisper. Everything is complicated by the fact that there are very short empty moments of noise in the recordings, so to remove it, I can take 2-3 seconds from there to analyze and clean the noise
What I did In Adobe Audition, I increased the volume to full, and only then, at full volume of the computer and headphones, I began to hear the voice more less, but there was a terrible noise, I cleaned the recording there from the noise and also increased it several times, I thought the noise will be cleared and the voice will remain, but artifacts naturally climbed and everything became even worse. Tell me if I have the opportunity to clean up the noise at least a little better (maybe a program, some kind of more powerful one), so that I can make out the words as much as possible and that's it, to hell with it, let it sound this is not a phonogram. Or I'm just hammering into the wall and there is no point in continuing to fight. For example, I started with AudioCity, it is good, but rather weak, the quality didn’t fit very well even at the beginning of work, I tried some other program I didn’t figure it out at all. Any tips? Oh need to.