The point is that these people have sheep and goats already for basic subsistence. They already use these dangerous fields. By buying them more animals instead

The point is that these people have sheep and goats already for basic subsistence. They already use these dangerous fields. By buying them more animals instead of (or as well as) spending money on expensive technical demining kit, you increase the probability of mine clearance a bit, while making the person wealthier. Sheep reproduce and excess lambs can be sold, making the process sustainable. Similarly, training locals in demining with donated basic equipment is also good, in the sense that these new experts can sell their services locally. The down side is that these brave people take extra risk. Both the livestock and local training methods were used in Bosnia, which had a serious landmine problem recently.