Most websites go to web advertisement services to provide money for whatever they do, so Chess.com probably cannot choose what ads appear on the side of the screen.
A solution to the "talking" ads (if you are listening to it from a device) is to directly listen to it from headphones or connect the device to your speakers if you have a speaker system (thats what i do).
Good luck.
OK, first off the ads you can pause or the ones that don't talk or whatever are ok. But the interaction ads are so annoying. Can't be paused! I know just mute it. But sometimes I'm listening to music that I can focus with. But the ads ruin everything! JUST MAKE THE INTERACTION TALKING, LOUD NOISE ADS STOP PLEASE!!!!!!