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The phrase "this definition has" is grammatically correct and can be used in written English.
It is typically used to introduce a definition or explanation of a term or concept. Here is an example: "This definition has been widely debated among philosophers for centuries."
Exact(60)
This definition has since mutated.
This definition has four components.
"This definition has been with us for millennia.
Second, this definition has implications for free speech.
This definition has been influential and frequently cited in the literature.
This definition has been extended to African migrants, and since July 2012 refugees and asylum seekers entering Israel have been detained.
In the recent crisis, however, this definition has become problematic: where consumerism once promised liberation it has now become the engine of an unsustainable lifestyle.
This definition has its own problems -- vegetables, for instance, though included in the old herbals, are seldom classed as herbs these days -- but at least it's a start.
This definition has at least two virtues.
This definition has a number of attractive features.
For him, and too many others, this definition has become dogma.
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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