Will ACV make homemade BBQ sauce last really long without expiring?

There is a gut friendly BBQ sauce I buy from the Store that I wanted to try and make at home. The ingredients are just basic. tomato paste, apple cider vinegar, sugar, horseradish, salt&pepper. Nothing else. It seems like it last forever in the fridge without expiring. Is that purely from the ACV? I am wondering if I make it at home will it last that long?