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The tourists were batting at 35 for four in 20 overs at the end of the day's play on Saturday. Harry Tector and Curtis Campher remained unbeaten for two each.
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Left-arm spinner Tanvir Islam, who bagged five wickets in the first innings for Bangladesh Emerging Team, has taken three wickets in the second innings so far while right-arm fast-bowler Ebadot Hossain scalped one.
Earlier, in the first innings of the match, Ireland posted 151 in 67 overs after choosing to bat first, winnings the toss.
Curtis Campher scored 39 runs for Ireland in the first innings, but no other batsmen were able to cross the 20-run mark.
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For Bangladesh, Tanvir took five wickets conceding 55 runs in 22 overs while Saif Hassan – Bangladesh captain in the game – took two wickets and Ebadot also took two.
In reply, Bangladesh posted 313 runs in their first innings riding on 92 of Yasir Ali. Saif (49), Tanzid Hasan (41) and Mahmudul Hasan Joy (42) also did well with the bat.
Mark Adair and Graham Hume took three wickets each for Ireland.
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Both teams will play three one-dayers at the same venue on March 5, 7 and 9. And they will travel to Dhaka to play the last two ODIs and two T20s which will take place on 12, 14, 17 and 18.