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The umpire will consider an lbw decision if he believes the ball would have hit the stumps had its path not been obstructed by the batsman's pads or body.
But the umpire also has to take certain factors into consideration before making a decision.

I would rewrite the above just replacing the word 'had' with 'if'.

The umpire will consider an lbw decision if he believes the ball would have hit the stumps if its path not been obstructed by the batsman's pads or body.
But the umpire also has to take certain factors into consideration before making a decision.
Will it be fine?
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Hi,

Yes, it's OK. But it's not good style to have a string of 'If' clauses like that, one 'within' the other.

Clive
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The umpire will consider an lbw decision if he believes the ball would have hit the stumps if its path had not been obstructed by the batsman's pads or body.

You need the had in this past conditional.

Also, stylistically the inversion (had its path not been obstructed, as in the original) is preferred to if.