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The phrase "a simple and logical" is correct and usable in written English.
It can be used to describe something that is easy to understand and makes sense, often in the context of explanations, solutions, or processes.
Example: "The solution to the problem was a simple and logical approach that everyone could follow."
Alternatives: "clear and rational" or "straightforward and sensible."
Exact(14)
Yow defended an even split as a simple and logical way of dividing spots.
While this may seem a simple and logical step, in practice it presents a formidable narrative challenge.
Though that may sound like a simple and logical idea, only a few laboratories have set up such programs.
To most reasonable people, this probably sounds like a simple and logical reform to promote openness and honesty -- "transparency" is the term accountants like to use.
Reaching the the top of any App Store is a simple and logical equation.
At first Gaga offered a simple - and logical - explanation: That she'd taken to eating frequently at the Italian restaurant newly opened by her father, Joe Germanotta.
Similar(46)
With the spread of case law in such conditional formulation, it was eventually discovered that formulation as generalized propositions or prohibitions was a simpler and more logical means of setting up a coherent code of laws than the case-law formulation (e.g., in the Hebrew Decalogue).
Even though a good amount of research work had been carried out in the past on materials selection, there is a need for a simple, systematic and logical scientific method or mathematical tool to guide designers in taking a proper material selection decision.
But as a way of building computer networks, such as Davies proposed, it was wonderfully simple and logical.
And he is keeping it simple and logical.
But that would be too expeditious, too simple and logical.
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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