BTW: I would snip the plants at the base of the trees and let the vines in the trees die out. You can also dip the cut ends (root side) with an herbicide to kill them off. Garlon is good for woody plants. I mix 1 part Garlon to 3 parts ag oil and use that to dip cut ends of blackberry vines into, and it kills them dead. Also works on Scotch Broom.
We have one wisteria vine growing into a chesnut tree here. GF likes it. Hardly invasive though. One trunk. I'd say maybe dig the stuff up and sell it on Ebay! Turn your problem into profit. It is commonly sold in bare root this time of year.

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