Answer: You could cut the stems near the ground and paint the stumps with an herbicide containing glyphosate. Then remove the vine from the house. It will probably take numerous treatments to achieve control and kill the vine -- large vines are very deep rooted and persistant plants.
Please think carefully before you do this. Hedera helix (English ivy) and Parthenocissus (Virginia creeper and Boston ivy) will leave virtually unremovable clinging roots or sticky pads on your house wall after you pull it down. Sometimes the foliage actually protects the wall from the elements; it also shades the wall in summer to help keep your home cool. Generally, the vine does not harm the wall unless you already have loose mortar joints that the roots can penetrate and make worse.
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