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"unsound conclusion" is a correct and usable phrase in written English
For example, you could write, "At the end of the presentation, the student made an unsound conclusion that was not supported by the evidence."
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We are aware, however, of a growing body of academic criticism of the serious limitations and unsound conclusions that may be drawn from using these methods.You also note that, "not to be outdone", the Boston Consulting Group (BCG) "has come up with a rival measure, Total Shareholder Returns (TSR)." It is wrong to attribute this measure to BCG.
Of course, even if Williams' reasoning is unsound, the conclusion could still be correct, and others have offered different routes to it.
Hence, we believe the use of T2-weighted MRI to measure the AAR or to index myocardial salvage is unsound, and conclusions previously based on this premise in clinical practice, multicenter trials, and basic investigations should be re-examined.
With good reason, Regueira and colleagues are more cautious; their observation of interactions between norepinephrine and mitochondrial respiration is indeed interesting, but the complexity of mitochondrial physiology renders such conclusions unsound.
And sometimes the unsound argument and the false conclusion are those presented by one side of a political argument.
We believe this conclusion to be unsound and use this study as an example to illustrate the methodological difficulties which may arise during such international comparisons.
So Macaulay's conclusions were as unsound as those of his father.
Any moral mistake in the reasoning leading to a legal principle might render the conclusion about the principle unsound, and the principle itself thus not legally valid.
The defects in the Declaration of Independence are not sufficient to force the conclusion that the document is unsound.
If it cannot, then it would seem that the correct conclusion to draw is that consequentialism is unsound.
Incompleteness may be an unfortunate affair but lack of soundness is a truly problematic situation since an unsound reasoning program would be able to generate false conclusions from perfectly true information.
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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