That's right. This terrible weed that you can probably find all around you right now is an extremely prolific grower. It forms a dense root network underground which makes eradicating it near-impossible without drastic and expensive interventions. Pulling it only signals it to grow more while it strangles all of the other plants in the area. It would be incredibly irresponsible of you to cut a vine into slivers with one leaf each, dig little holes around the property, and plant them. You will cause thousands of dollars of damage to the property which can't be traced back to you and that's wrong.
If you introduce a non-native species, you're a bad person. Do not do this unless it is native to the area you are doing it. Seriously. The ecological damage of invasive species is really REALLY bad. "Just solarize" can't be applied to millions of acres, or if it is intergrated within an ecosystem.
There is a massive patch of an invasive grass near me. The owners want to destroy it and rewild the area. It will not be cheap or easy.