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43...Re7+

I recognize this as an excellent move on your part. In my protracted explorations of possibilities a few days ago, I did look at this. For some reason I ranked it as unlikely to be your choice. I want to look at it again. Some of my scenarios lead to a real chance for you to win this game, and pretty quickly, but I am not forced to allow those paths to happen. Neither can I force you into a path that is certain to yield me a victory. I have two possible moves here, and interestingly, the one that appears to be most reckless on first appearances can still work out for me. . . . perhaps.

So I am on a time crunch for this weekend. I would like more time to think this over.
 
Victory Assured

So, I've looked again at this, and I think I win this game. But, who knows, Log might see something I don't.

So my move is Kf4

The only other move I considered was Kf5, which would likely ultimately go pretty much the same way. In choosing Kf4 I am eliminating another check move from Log's Rook, which would force me into a place I really want to go, anyway. . . ., but I'm also allowing a Bishop check move from Log which would send me to a better place. With the Kf5 move, there was one thing I needed to watch out for downstream which could have given Log a victory. But I could avoid it, and still prevail. With this move, there is also a possible move for Log that I need to watch out for, but again I have the answer. This will not be a long game.

So now here's the complete list of moves thus far:

1. e4, c5
2. Nf3,d6
3. h3, a6
4. b3, Nc6
5. d4, cxd4
6. Nxd4, Qa5+
7. c3, Bd7
8. Nxc6, Bxc6
9. f3, Nf6
10. Qd3, 0-0-0
11. Bd2, g6
12. c4, Qc7
13. Nc3,e6
14. 0-0-0, Bg7
15. Be3,d5
16. exd5,exd5
17. Qc2, d4
18. Bxd4, Qf4+
19. Qd2, RXd4
20. Qxf4, RXf4
21. Nd5, Nxd5
22. cxd5, Bd7
23. Bc4, Bh6
24. Kb2, Bf5
25. Rd2, Bg7+
26. Kc1, b5
27. Bd3, Rd4
28. Bxf5+, gxf5
29. Rxd4, Bxd4
30. Re1, Kd7
31. Kd2, b4
32. Kd3, Bc3
33. Re3, f4
34. Re4, Kd6
35. Rxf4, f6
36. a3, a5
37. h4, Rg8
38. g4, Rc8
39. axb4, axb4
40. Rf5, Rc5
41. Ke4, Ra5
42. Rh5, Ra7
43. g5, Re7+
44. Kf4,
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and the pic:
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https://www.chessvideos.tv/genboard.php

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5g42k7sjj9lg.png
 
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45...Kxd5

I guess you've done your best the past three moves. I had planned to shift my King to g4 (Kg4). Not as sweet as if my rook were still in position to produce a discovered check with a pawn move, but I think manageable.

4be8a2511rwgs.png
 
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46...fxg5

Sorry it has taken me so long to respond to this. This is the move I anticipated that you would make here, but I wanted some time to review the situation. When I explored this path before, I had a good response, but I forgot what it was. . . .lol. . . . . I mean, after I take your pawn with my pawn. . . . . going somewhere with my Rook now that both lanes are wide open.
 
Sorry it has taken me so long to respond to this. This is the move I anticipated that you would make here, but I wanted some time to review the situation. When I explored this path before, I had a good response, but I forgot what it was. . . .lol. . . . . I mean, after I take your pawn with my pawn. . . . . going somewhere with my Rook now that both lanes are wide open.

47. hxg5
 
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