So I've boiled down a problem to the point that I've got ln|x-1|-ln|x+1| evaluated at B=-2 and A=-infinity

Boiling it down further, I get ln|(-3)| - ln|-1|-(limits as X->-inf for both of the terms)

This gets me to LN(3)-0-(infinity-infinity). Is that valid? It says the answer is LN(3) but can I really subtract infinity from infinity and get zero?