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Is it correct to use "for both of which.."?

I would like to write something like:

"We have developed two methods to solve the problem, for both of which a patent application has been filed with Company X."

Is this correct? If not, how would you re-write it?

Thanks!

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    Yes, it's fine. The relative phrase is "for both of which", where it is just "which" that is anaphoric to "problem". – BillJ Mar 12 '18 at 16:25
  • But I mean two patents for the two methods. – Courier Mar 14 '18 at 14:34
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    "Which" is of course anaphoric to "methods". Apologies! – BillJ Mar 14 '18 at 14:49
  • Strictly, you need "for each of which". Strictly, what you posted suggests one application is meant to cover the two processes… and apart from the Patent Office, who will mind, please? – Robbie Goodwin Mar 27 '18 at 19:14

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