ALMOST? The devil's in the details.
Purple loosestrife is a scourge here too.
Each flower stalk puts out hundreds of tiny seeds and they all seem to take root. The trick to keep them in line in a garden is to cut off and dispose of every stalk as soon as the last flower is gone.
We bought one at a nursery about 15 years ago. The seedlings pop up everywhere, but if you yank them they come up pretty easily. Even the large ones. I’ve seen some 8 feet tall.
I even saw some growing in a planter at a state run rest stop on an interstate.
I was told that it is now illegal to sell in most states.