Murray, who played a marathon 31-minute tiebreak in his quarter-final win over German Philipp Kohlschreiber, breezed through the second set to reach his second final in Dubai.
Spaniard Verdasco, 33, beat Dutchman Robin Haase 7-6(5) 5-7 6-1 in a clash between two unseeded players to advance to Saturday's final.
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(Writing by Ed Osmond in London; editing by Ken Ferris)
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