Invasives in compost

I have very relaxed composting system. I’ve really not done much with my property, but it’s a start. I’m nervous to put invasive in my compost. I have Himalayan blackberries, English ivy, thistle, and other noxious weeds (as classified by the county) that I know can propagate and seed themselves very easily. For now, I put those in their own pile to be burned along with a lot of sticks.

Do I need to be so cautious? I have just an open pit/bay from cinder blocks (3-4 feet square) water when I water plants and keep it covered with cardboard, and turn every few weeks. I don’t temp check but I know it heats up. It’s mostly kitchen scraps and grass clippings- which sit in their own mound and get very, very hot before I consider adding them to the pile.

In a year, I only got about 4 cubic feet from one bay but it was dark and rich looking, remarkably consistent… i’m certain that animals ran off with the bigger bits but 🤷‍♀️ what they left seemed awesome.

I’m working on incorporating more yard debris to increase my volume. So should I worry about the invasive?