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The phrase "deduce by" is grammatically correct and can be used in written English
It is typically used to indicate that something is understood or concluded by using logic or reasoning. Example: By examining the clues found at the crime scene, the detective was able to deduce by the presence of footprints that the perpetrator was a tall man wearing size 12 shoes.
Exact(46)
This fact makes it possible to deduce by purely algebraic means many theorems of synthetic Euclidean geometry that require complicated geometric constructions.
Mr. Wolfe can sacrifice urgency for clarity, as you might deduce by the track listing, which juxtaposes songs called "So Lovely," "Mellow as You Please" and "Lovely Lady".
To diminish this very essence of scientific process and collaboration (collect data, analyse, deduce) by conflating it with vastly exaggerated or fundamentally false claims of disagreement (often promoted by those with no interest in the truth, only their version of it) the media are regularly giving a very false impression of scientific research and the opinions of the scientific community.
By (3.28) and, we immediately deduce by Lemma 2.8 that.
Thus, one can easily deduce by equality (3.2) that (3.1) holds.
Hence, we deduce by means of a standard argument that, a.e.
Similar(14)
From these its truths could be deduced by logic (or unraveled).
The age of the teeth is deduced by their place in the sediment.
Most of them have been solved already, and most of them were deduced by the hive mind of internet fandom.
Religious affiliation was deduced by studying students' names, interviewing them and asking them directly on medical school applications.
Sometimes the age of a cover could be deduced by the foundry address printed on it; some changed locations several times throughout their existence.
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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