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The phrase "a logical explanation" is correct and usable in written English.
It can be used when referring to an explanation that is based on reason and sound judgment, often in discussions or analyses.
Example: "After reviewing the evidence, I was able to provide a logical explanation for the unusual behavior observed in the experiment."
Alternatives: "a rational explanation" or "a reasonable explanation".
Exact(60)
There is a logical explanation for this.
His season-high 12 assists had a logical explanation, too.
According to Van Bommel there is a logical explanation.
At least there was a logical explanation for the fish.
But in the end seeking a logical explanation for this game feels futile.
Although there was a logical explanation for their estrangement — Kalinda had slept with Alicia's husband!
This absurdist premise is given a logical explanation at the end, which defeats the purpose.
McDowell puts forth what, for many, is a logical explanation: Such trends go in cycles.
I'm going to feel really stupid if there's a logical explanation (and I'm a college professor).
He added, "You're asking me to give you a logical explanation for an illogical act".
The fourth case appeared to be a vote from beyond, but that vote also had a logical explanation.
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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