The phrase "applied this reasoning" is correct and usable in written English.
You can use it when discussing the use of a specific line of thought or logic in a particular context or argument.
Example: "In her analysis, she applied this reasoning to demonstrate the effectiveness of the new policy."
Alternatives: "utilized this reasoning" or "employed this logic".
In a book called "Indispensable: When Leaders Really Matter," from 2012, Mukunda applied this reasoning to the Presidency.
If you applied this reasoning across the board, you would need to dismantle the state school system and, indeed, the NHS.
The plan itself refused to accept that means-testing was fair: If you applied this reasoning across the board, you would need to dismantle the state school system and indeed, the NHS.
Two students even applied this reasoning on the final exam, in which the phylogenetic tree did not include synapomorphies.
WF Doolittle's review continued: These authors' recently published PNAS paper applied this reasoning to bacterial TyrRS: here they have focused on archaeal ThrRS and SerRS, each of which has a common and a rare form.
Applying this reasoning to Mr. Gasser, I think it is fair to say that he was very good at what he did.
By applying this reasoning to web pages, so that those most often linked to other websites should come highest in the search rankings, they came up with the plan for Google.
We apply this reasoning to a network dataset combining identification of direct competitors and selection of advisors among the elite of cancer researchers in France.
On privacy, the tribunal found that the employee could not have expected the email to have been private given that it was headed "IT IS YOUR DUTY TO PASS THIS ON!" What about applying this reasoning to Mr Scudamore's "foul play"?
The algorithm applies this reasoning recursively starting from the top policy, which should always be deployed provider-side.
UCLA applies this reasoning to say that the alleged video licenses should be preempted insofar as they would govern whether or not making a copy for digital distribution is allowed, since this would be equivalent to the rights under copyright.
