Avoiding it? (tax)

I add he video maybe that might help. I don't understand how, on one side they say "to pay more taxes" but then "them avoiding it" it doesn't make sense, I understand that avoiding here has to do with taxes, yes?

At 2:15 Almost no one raises the real issue of tax avoidance It seems like something that would *** a lot of really, really wealthy people off, that idea of them paying more tax and them avoiding it.