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The phrase "argument employed" is correct and usable in written English.
It can be used when discussing a specific argument that has been utilized in a particular context, such as in a debate, essay, or analysis.
Example: "The argument employed by the author effectively highlights the flaws in the opposing viewpoint."
Alternatives: "argument used" or "argument applied".
Exact(12)
The argument employed is one repeated by the Clinton campaign, and shared by many independent legal and security experts who have looked at the case.
One line of argument employed by settlement supporters is that no settlement is built on private Palestinian land – though such a claim appears to be based largely on settler fiction rather than hard facts.
The latest policy on school buildings in effect dismisses the argument, employed to justify paying millions of pounds of fees to award-winning architects, that good design can boost pupils' attainment.
Those polls aren't even about DACA, incidentally; the argument employed is basically that Americans want more hard-line policies on immigration policy generally and therefore probably really oppose DACA, if you think about it.
Thus, they disparage EZchip using precisely the opposite argument employed by Schmitt.
The argument employed here is similar to that for Theorem 1 of Jiang et al. (2011).
Similar(48)
On this point, at the appearance of two volumes by Johann Friedrich Richter, a pantheist and critic of religion, Hegel's disciples intervened, in an argument employing not a few dialectical artifices, to conciliate Hegelian statements with the traditional doctrine of immortality.
The formulation of the method is based on the differential-geometry argument employing the curved coordinates (u1,u2,u3) where u1 and u2 are along the local tangent plane of one of the bounding surfaces z= z(x) and u3 is perpendicular to the local tangent plane.
The Basic Argument employs the box and diamond in the standard fashion as operators for, respectively, conceptual necessity and possibility.
Our argument employs the Arzelà Ascoli theorem and also yields the existence of a solution of the limit problem.
However, Haldane (Smart and Haldane, 132) defends the cogency of Aquinas's reasoning on the grounds that Aquinas's argument is fallacious only on a temporal reading, but Aquinas's argument employs an atemporal ordering of contingent beings.
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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