Salaam all,
Being a female I thought that I would add my contribution here
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It has become more prevalent within Muslim communities that men only marry one woman at a time. I also agree with others that over the centuries, many scholars have interpreted the Quran and jurisprudence through a narrow male viewpoint.
However when it comes to marrying more that one wife, I am of the viewpoint that it is indeed a permission given to men by God and I am have to accept this.
The reason being that I believe in the Quran in its entirety but also acknowledge that I can't understand fully the reasoning behind all of verses. It may be something to do with the men and how they function and think differently when it comes to women.
Whatever the reasoning though, I do not believe that a man should secretly marry another wife as this has become commonplace unfortunately and leads to all sorts of issues.
Surely this is against the spirit of what a marriage is in Islam. Also as a wife myself, I would ideally prefer to be the only one!