West African families could have hundreds of members because many believed that all people had a common

Ancestor

Explanation:

A lot of West African families in countries like Nigeria, Ghana, Togo and Senegal believe that every human being is descended from one common ancestor. For this reason, they believe that we are all related.

This is what allows for them to have many hundreds in their families because after all, we are all related via the common ancestor and are more like distant cousins so being in the same family makes sense.

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