If you are allergic to it, I would choose to use the round up too so that you do not come in contact with any of the sap. After spraying it, let it fully dry up dead before trying to cut and remove it (wait months). I would also check to see if it has creeped under the fence into the neighbors yard. If it has then ask permission to remove it or perhaps they will cut it off with a lawn mower.
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~ Patti ~
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