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"adequately demonstrated" is a correct and usable phrase in written English.
You can use it to indicate that something has been sufficiently or convincingly shown, proved, or illustrated. For example, "The effectiveness of the proposed plan was adequately demonstrated."
Exact(44)
Have the students adequately demonstrated their unusual abilities?
Last year, a committee that evaluates technology for Blue Cross Blue Shield said Genomic Health had not adequately demonstrated a medical benefit.
Judge Brinkema said on Thursday that defense lawyers had "adequately demonstrated that the detainees could provide testimony supporting the contention that Moussaoui may have been only a minor participant in the charged offenses".
The company, based in Seattle, said it was told by the Food and Drug Administration that it had not adequately demonstrated the safety and clinical benefit of the drug, Bexxar, and that new clinical trials would be required.
E.P.A. rules sometimes demand technological advancements, but the goals that the agency establishes have to be met by techniques that existing law describes as "adequately demonstrated".
The judge said it was not clear legally if he could consider the economic consequences of revoking the approval, but that even if he could, the Agriculture Department had not adequately demonstrated there would be a severe impact.
Similar(16)
Not as some weird Ukip-defence mechanism, but because the schools inspectorate recently dropped some schools' grades for failing to adequately demonstrate such values.
Failure to adequately demonstrate such consent to the satisfaction of GNM may result in the entrant's disqualification and forfeiture of any prize.
Several adequately demonstrate the artist's pioneering work with lines of pigment that carry the eye at a varying pace without pausing to define form.
In other words, he said, it is still possible for a board member to be reimbursed for punitive damages if he can adequately demonstrate that he was acting in good faith for the benefit of the co-op.
The company's banks, National City and KeyBank, suspended their efforts to secure such a loan last month, after deciding that they could not adequately demonstrate that the loan could be repaid.
More suggestions(15)
reasonably demonstrated
adequately illustrated
adequately proved
conveniently demonstrated
insufficiently demonstrated
accurately demonstrated
better demonstrated
duly demonstrated
adequately incorporated
correctly demonstrated
satisfactorily demonstrated
amply demonstrated
adequately determined
adequately illuminated
adequately revealed
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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