You don't say how thick this ivy is and how old it is, I have just cut through ivy stems that needed a chain saw! I'm with the others, you need to remove it from the walls asap by cutting the stems, spraying the leaves with Round Up or similar (add a drop of washing up liquid to counter the gloss of the leaves) and dig up the roots if you can. If this last is not possible, drill or cut the surface of the cut stems and treat with brush killer. If you leave it then it will destroy the surface of the wall and let the damp into it. No time like the present.