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American Airlines have roundtrip airfares travelling between Detroit (DTW) and Dallas (DFW) for $ 152 including taxes and fees. This is nonstop service.

Travel availability:
Departs DTW: April 18, 19; May 2, 4, 6
Returns: April 19, 25; May 3, 9, 10

Departs DFW: April 18, 25; May 9, 10
Returns: April 18, 29, 25; May 2, 9, 16, 17

Use above dates and book it on Expedia [expedia.com].

Sample travel itinerary attached.