As a Muslim, polygamy in anything is legitimate in Islam, but in polygamy is forbidden to marry a woman and her sister, poligamy can lower the rate of abortions, divorce, or adultery. Variety of other social ills can be reduced, Polygamy might be one of the problem solvers of social ills in the community. hopefully ...
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It lower the divorce rate because woman has little right in Muslim society. As for abortion, Muslim countries usually have even more outrages welfare system than the US and the cost were piled on other race/culture.
As for lower adultery rate, you have a source to back this up?