Facebook's ad algorithm is race & gender stereotyping, new study suggests

It would be "stereotyping" if it was sentient and had an ulterior motive. As of 2019 sentient algorithms do not exist, not even at Facebook. So the algorithm just fits a model over actual observed data to minimize the cost function (which in turn, hopefully maximizes click-through, and therefore FBs profit).

If you truly want to be "inclusive", show your lumberjack ads to women only, you have demographic targeting tools for that. Just don't be surprised by the abysmally low click through rate and astronomical bid which would be required for your ads to win the auction (which is a prerequisite for them to be shown at all).

The way these auctions work is the probability of a click is multiplied by the bid and then whichever ad gets the best score wins the auction. If probability is low, the price has to be high to win the auction.