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"reasonably established" is a correct and usable phrase in written English.
It means that something is logically or commonly accepted as true or valid. Examples: 1. The theory of relativity is reasonably established in the scientific community. 2. The company's reputation for quality products is reasonably established among its customers. 3. It is now reasonably established that exercise is important for maintaining good health.
Exact(14)
For those reasonably established entrepreneurs, venture capital is already available.
The science base for the VHTR and SFR systems is reasonably established, although there are gaps.
However, the agreement between theoretical and experimental swelling values for EVAL is reasonably established when the Flory–Huggins equation was modified by incorporating a ternary interaction parameter χT.
While the measurement of family performance has been reasonably established, what constitutes a 'family business' is not as easily found.
The role of capsular decompression also has not been reasonably established considering the fact that primary injury to vascularity occurs at the time of initial injury [13, 14].
Five years later, with that first company reasonably established, and with extra space in my head and some time on my hands, I built the technology for my second company.
Similar(46)
If an accused is charged with an offense committed while free on bail, if the arrested person requires police protection, or if evidence reasonably establishes that he committed murder or treason, bail may be denied.
It is only in relation to such a problem/project, in actual fact, that we can reasonably establish which information and which knowledge is pertinent and useful and which not.
We must forge strong basic services to renew, or even reasonably establish, local confidence to stop the bleeding of Detroit's people -- literally and figuratively.
The value and effectiveness of India's school meal program are reasonably well established.
With thousands of miles of pipelines in operation, onshore pipeline engineering is reasonably well established.
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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