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The phrase "a third cases" is not correct in English.
Did you mean "a third case"? You can use "a third case" when referring to one instance out of three total cases being discussed or analyzed.
Example: "In the study, we examined two cases in detail, and now we will look at a third case to complete our analysis."
Alternatives: "one of three cases" or "the third instance".
Exact(1)
Therefore, in the case of DNA transposon-derived genes, intron gain can be recognized easily only in the first case, while the second and a third cases are much more difficult for inferring intron gain in these genes.
Similar(58)
Florida A First Case To Investigate Every disease outbreak tells a detective story.
A third case hovers in the background.
A third case was reported in Niagara Falls.
A third case involving Milford is pending.
A third case involved a patient requiring spinal surgery.
The preliminary proceedings committee threw out a third case last Thursday.
"Deliverance," of course, is a third case, or a corruption of the second case not made for a major label, but not safely captured by the vault.
Arbitrators ruled in favor of Mr. Scott in a third case in August.
He also risks indictment in a third case in which he is suspected of bribery.
CT scan accurately diagnosed intracranial extension in one case, was indeterminate in a second case and falsely positive in a third case.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com