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Consider we intend to say that a problem cannot be solved only if we look through more fundamental concepts of a theory.

I suggest these:

Problem A cannot be solved without resorting to the fundamental concepts of theory B.

Problem A can only be solved at deeper levels of theory B.

Which sentence works well? what do you suggest?

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First off, in your opening statement 'only' ought be 'unless', I am guessing, or 'cannot' ought to be 'can'.

Second, the former variant ("without resorting") sounds a bit like panic. To "resort" suggests a need to escape, to grasp at something. That is why I think that the latter variant is more acceptable.

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