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The phrase "be well established" is correct and commonly used in written English.
It means to be firmly established or widely recognized as being true, successful, or important. Example: The company's reputation for high-quality products has been well established in the market.
Exact(57)
RICS economist Milan Khatri said that the new slowdown appeared to be well established.
GRANTS PASS, Ore .— It might be well established by now that money cannot buy happiness.
The filibuster may be well established in the popular consciousness — think of long-winded senators speechifying for days.
So, while the total number of periods seems to be well established, the mythology begins with "average" cycle length.
Pip Wilkins, chair of the British Franchise Association, says to successfully franchise your business should be well established and profitable.
It hopes to be well established by the time Britain switches off the analogue television signal in 2006.
As a consequence, specific colorimetric detection of iodide in aqueous solution can be well established at the micromolar concentration level.
But is two years enough to be "well established" … or is there a serious shortage of academy sponsors in the north?
Similar(3)
His reputation for sexual indiscretions appears to be well-established.
The differences were eventually resolved and the structure of CODH was thought to be well-established.
Therefore, reasonable accuracy on all census data on age for childbearing women in Swaziland seems to be well-established.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com