Babar Azam closing in on two years without fifty-plus score in Test cricket after Multan dismissal
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Masood's brilliant 151 was his first hundred for four years, while Shafique also returned to form with 102 as the pair put on a solid 253-run stand for the second wicket after Pakistan won the toss and batted.
England, led by Ollie Pope in the absence of the injured Ben Stokes, briefly fought back when they removed both Masood and Shafique in the space of just two runs in the third session.
The visitors then took the second new ball at 308-3 and dismissed Babar Azam, trapped leg-before by fast bowler Chris Woakes for 30. Saud Shakeel was unbeaten on 35 at the close of play, with nightwatchman Naseem Shah yet to score.