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Consider the chain r4c2~5~r9c2-5-r7c3~5~r7c5-5-r2c5~5~r2c8-5-r4c8.
When the cell r4c2 contains the value 5, so does the cell r4c8 - a contradiction.
Therefore, the cell r4c2 cannot contain the value 5.
- The move r4c2:=5 has been eliminated.
Consider the chain r3c6-6-r6c6-<8|3>-r6c9-<6|5>-r3c9.
When the cell r3c6 contains the value 5, so does the cell r3c9 - a contradiction.
Therefore, the cell r3c6 cannot contain the value 5.
- The move r3c6:=5 has been eliminated.
The cell r3c9 is the only candidate for the value 5 in Row 3.
I'm not sure whether the elimination provided by the first chain is strictly necessary in order to solve the puzzle.
BTW, personally I find it helpful if the puzzle is included in the post alongside the candidate grid. Thanks.