Help with clogged kitchen sink?

What could be causing a kitchen sink to not drain? So far the traps have been taken off and no clog, the whole line has been snaked with industrial 50 ft snake all the way to the basement, and also from the air return on the roof. Toilet in the basement has been removed and snaked. It does not affect the upstairs toilets, bath tub or the basement sink, washer, just the kitchen double sink. Oh, and also have tried baking soda and vinegar and plunging.

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