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31. Nd8
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Aiming for e6, but this allows Black to trade queens via ..Qc7, which makes White's task a little harder in the endgame. He can still use the queen to poke further holes in the Black position.
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31... Qd7
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Declining to trade queens. Now the point of White's maneuver, the frailty of the Black king, will reveal itself.
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32. Ne6 Qa7 33. Qc1
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Threatening the blunt invasion Qh6-g7#
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33... g5
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The only move.
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34. h4
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Opening lines to the Black king.
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34... h6 35. hxg5 hxg5 36. Qc3
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Threatening h3-h6-g7#
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36... Qa2 37. Qc6
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Now threatening e8. Black will be mated shortly.
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37... Qa1+ 38. Kh2
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And Black resigned in view of the unstoppable Qe8 .
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