Uncle Arthur, who is actually Mr. Keaton's friend. In an early episode of Season 1, he tries to make a pass at Mallory.
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Family Ties
There were 7 seasons.
There were no gay characters on Family Ties. However, it's possible you're talking about this, the woman who played the mom, Meredith Baxter is a lesbian.
Chicken Heaven
They went to collegetogether.