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The phrase "a certain logic of" is correct and usable in written English.
It can be used when discussing a specific reasoning or rationale behind a concept, idea, or phenomenon.
Example: "In the context of social behavior, there is a certain logic of conformity that influences individual decisions."
Alternatives: "a specific reasoning of" or "a particular rationale of".
Exact(3)
These decisions by and large followed a certain logic of geography or religion.
In a Beckerian world, we act the way we do because of a certain logic of events — jazz musicians are supposed to smoke dope, graduate students learn how to please their supervisors — but there are lots of different roles within the world, and we can choose which one to play, and how to play it.
This model also implies a certain logic of substitution that we still live with: energy bars and drinks are equivalent to meals, and synthetic nutrient supplements may be substituted without effect for their naturally occurring equivalents.
Similar(57)
"There's a certain logic to each of these cases," she said, that explains why Mr. Bush is satisfied for now to jawbone Iran and North Korea while declaring there is no way to live with Mr. Hussein.
It was the attitude of a desperate man: there was a certain logic to it, but, of course, finding a job in a field where you have no experience or personal contacts can be next to impossible.
There is a certain logic to this kind of male initiative.
Nevertheless, there is a certain logic to this rebranding of the war.
They do not exactly say rock 'n' roll pioneer, but there is a certain logic to his choice of footwear.
This solution does not have a certain logic for the assignment of channels that is why it is called 'random,' it arbitrarily allocates users to different channels without any knowledge of the channels current status or the whole system.
There was a certain logic to Monroe's choice of bed wear.
There is a certain logic to that but, as one of Pavin's vice-captain's Tom Lehman later pointed out in the context of defending Fowler's selection, "experience is overrated" in the Ryder Cup.
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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