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"defined and established" is correct and usable in written English.
You can use this expression when referring to rules, policies, or other criteria that have been laid out by a governing body or authority. For example, "All students must follow the defined and established academic guidelines set forth by the school."
Exact(9)
Boys are wounded, she wrote, when they undergo "an initiation into masculinity or manhood as it is defined and established in cultures that value or valorize heroism, honor, war, competition -- the culture of the warrior, the economy of capitalism".
The damping coefficient matrix of the system is defined and established.
The organizational emergency care, as defined and established internationally, is certainly under-resourced and underdeveloped.
To manage the systematic and unified handling of the measured vibration data needed to develop the model, a database has been defined and established.
end{aligned} (19)The stability of the equilibrium of system (18) was first defined and established by Matignon as follows [21].
In the consensus meeting, practical and systematic terms were defined and established.
Similar(50)
On Dr. Olesen's initiative, the International Headache Society, an organization of professionals that is based in London, decided in 1985 to classify, define and establish diagnostic criteria for the various headache diseases.
We use the framework to define and establish the relationship between performance metrics, offering new perspectives to their current definitions.
The release of general surgery residency program rankings by Doximity and U.S. News & World Report accentuates the need to define and establish measurable standards of program quality.
This mixed-methods study was designed to define and establish expert consensus on the most important competencies required to perform a thyroidectomy safely.
This document attempts to define and establish the scope of clinical audit in a way that is applicable across member states and radiological organisations.
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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