If the law does not allow it, then change it. It is the job of a legislator, after all: to create new or to amend existing laws to fill the needs of the present.
I hate it when politicians rationalize not supporting same sex marriage by falling back on "Well, the Family Code doesn't allow it." We know it's a barrier. And so we need legitimate political support to change the system to respect LGBT rights. The code isn't the Constitution!
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