Why don't we just gather up all the ocean's trash and all the nonrecyclables, put them in a rocket, and launch it into the sun?
I'm sure there's a perfectly good reason why we haven't done this yet. Too expensive? Would launching it into the sun cause the smoke (if there is even smoke in space) to find its way back to Earth, therefore polluting the air?
I think you wildly underestimate the amount of trash we're be talking about here. This wouldn't be a rocket, this would be thousands, or hundreds of thousands of rockets. And that's just the start.