You really have to go it some to kill a buddleia. As long as the roots are intact it is likely to return.
There are quite a lot of buddleias growing out of brickwork on a wall at Crewe station. I am quite worried about the state of the wall there.
Just stick the cuttings in a jam jar on the window sill and they will root .
Speculation: Who Will Be In Burnham's Cabinet?
Swimming pool was more like a talking pool!
Lest we forget what we have just lost ....
The government changed women's pension age and called it progress. Did anyone actually ask you?
In my last house I cut a woody buddleia back to within a foot of the ground and it recovered beautifully.