Answer: This is an instance where you may want to try an herbicide containing glyphosate. Read and follow the label instructions carefully; you may need to repeat the application because these vines have tremendous root reserves. Since the vines are in among your plants, you may want to use a wipe-on application method rather than spray. Other than that, you may be able to exhaust the weed by repeatedly clipping it off at the ground and then covering it with a piece of cardboard topped off with a thick layer of mulch so that it receives no light, but this is an extremely pernicious pest.
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