Cheap ones don't.
A/V On-Line, Pure Sine Wave UPS - 120V
Good quality UPS units are regularly surplussed when the batteries go bad. output is pure sine wave .
I paid 50 bucks each for two. The batteries are weak but work.
Colleges are a good place with surplus departments. Don't expect to find them every trip though, they are only there when they get rid of them.
Ohio State is nice, have a surplus sale one day a week and everything is posted online...
Worst thing is lining up in the cold when they have good stuff...
There are computer recyclers in most major cities, if you explain battery condition isn't important you might get them cheaper.