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The phrase "a common implication is that" is correct and usable in written English.
It can be used when discussing a widely accepted conclusion or inference drawn from a particular situation or set of data.
Example: "In many studies on climate change, a common implication is that immediate action is necessary to mitigate its effects."
Alternatives: "a frequent assumption is that" or "a typical inference is that".
Exact(1)
In all these references, a common implication is that the synthesis of an ideal ambiguity function, i.e., an exact Dirac-delta, is not possible, due to strong constraints in its mathematical form.
Similar(59)
His implication is that Chelsea needs rebuilding.
But a common finding in habituation experiments is that responding initially increases before declining; the implication is that the initial presentations of a stimulus result in more sensitization than habituation, while further presentations produce more habituation than sensitization.
The main implication is that we have developed a dependency on technology, which has eclipsed our reliance on logic, critical thinking and common sense: if you can find the answer online, why bother thinking?
The implication is that this isn't a human being.
Comments about her have something in common with comments I've read about virtually every other artist or celebrity who comes out as bi: "What if she's just saying that for attention?" The implication is that no one would actually say they're bi, because of a further implication, which is that no one really is bi.
Though Einstein does not say it explicitly, the implication seems to be that apparent determination in theory choice is mainly a consequence of our all being similarly socialized as we become members of a common scientific community.
That implication is wrong.
That implication is false.
But the implication here is that he ordered the attacks on the camps -- a common misperception that Mr. Gurney, however unintentionally, perpetuates.
Common to both sets of implications is the idea that one should start with the smallest units when developing either theory or policy.
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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