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The phrase "across established" is not correct and does not convey a clear meaning in written English.
It may be intended to describe something that spans or is relevant to established norms or practices, but it lacks clarity without additional context.
Example: "The new policy was implemented across established guidelines to ensure compliance."
Alternatives: "through established" or "within established".
Exact(14)
Game-changing innovations often cut across established channels or combine elements of existing capacity in new ways.
We discuss oogenesis concepts across established model organisms, and construct an inclusive paradigm for early oocyte differentiation in vertebrates.
A way of overcoming this shortfall is to develop a technique to connect different software packages, enabling the data communication across established links.
Even if none of the films are to your taste, you cannot miss something forthright in their attitude — a willingness to entangle themselves in mystery and to flit across established borders, both of geography and of genre.
By placing a greater emphasis on an individual patient's needs, rather than on organisational boundaries, and by making imaginative use of money, resources and skills across established silos, the Medway did enough to elevate itself out of special measures.
An almost religious meditation on the persistence of guilt and memory, and the desire for forgiveness, the drama uses a rather thin plot to tread across established O'Neill themes.
Similar(46)
The combatants also traded rocket-propelled grenades and heavy machine-gun fire across newly established confrontation lines in East Beirut.
Major John Howard and his company swam across and established the battalion's bridgehead.
As well, comparisons across particular established family sets by a single-standing or integrative application tool are sparse.
The typical approach is to select and summarize land-cover proportions or pattern metric values across given established reporting units (cf. Wulder and others 2008b).
This involved asking approximately 20 managers and clinical leaders within VCH who were involved in the Vancouver Communities Division to allocate 100 points across the established criteria.
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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