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If you remove one of the trunks, you will have a very ugly tree, because you will be removing much of the foliage on one side. Had this issue been addressed when the tree was younger, it may have been corrected. If you remove one side now, the exposed cut will be a large area susceptible to insect, disease, and rot. And even if you remove it, you will have to continue almost annual pruning of the maple to keep it from happening again and again.
My suggestion would be to remove the entire tree and plant a new tree, not one of the inexpensive and popular red maples.
If anyone wants proof of just how bad red maples develop multiple leaders, just drive around almost any commercial parking lot, which are normally full of red maples, and look at how bad the internal structure of the trees develop. Over time, as the tree matures and the weight load increases, something will fail, split, and fall over.
In summary, a red maple can be a beautiful tree, but due to the soft wood, and the tendency for multiple leaders and poor branch angles, the tree will require constant pruning and attention to maintain it in a healthy and strong form. Without giving it this attention, I would recommend a different tree.
You MIGHT get some reassurance by installing a cable between the two trunks but this is NOT a homeowner project. A certified arborist has training and load tables that allow them to calculate where best to put the anchor point. Just a small error in placing them and the limb might crack and fail.
An arborist might also be able to identify a point somewhere up one of the trunks that could