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The phrase "a necessary consequence" is correct and usable in written English.
It can be used to indicate that something logically follows from a particular action or situation.
Example: "If we continue to ignore climate change, rising sea levels will be a necessary consequence of our inaction."
Alternatives: "an inevitable result" or "a logical outcome".
Exact(59)
The fragmentation of philosophy and its consequent separation from theology is, according to Rosmini, a necessary consequence of sensationalist thinking.
The one would be a necessary consequence of the other.
"Rising inequality is not destiny or a necessary consequence of the forces of globalisation.
President Bush says that private-school vouchers are a necessary consequence for chronically failing schools.
Would a proliferation of political parties, a necessary consequence, be a benefit?
Arrogance in this sense is not a necessary consequence of overconfidence.
On the other hand, monetary disarray is not a necessary consequence of central-bank losses.
In response, Justice Stevens offered this retort: "Nonuniformity is a necessary consequence of a federalist system of government".
This is, for now, the worst ever Verona in Serie A. And relegation is a necessary consequence.
Fragmentation of the marketplace would be a "necessary consequence of the process of competition" that probably "cannot be avoided entirely".
Is the elision of the complex victimization of the Palestinians by Arab states a necessary consequence of this lapidary form?
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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