You probably mean 'the difference', not 'the distinction'. But really, I don't understand your intended meaning. A diagnostic test usually finds mechanical problems.
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youngbutstwo sentences belowI would not use either sentence.
youngbutsWe can identify the difference between these cars by using the test.The first seems to me a clearer way of saying what you mean, or what I think you mean, anyway.
We can identify the difference between these cars using the test.