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'well-established pattern' is correct and usable in written English.
You can use it to describe an existing practice, phenomenon, or situation that is usually accepted and likely to remain unchanged. For example, "The well-established pattern of eating breakfast before work is one that has long been accepted by many cultures around the world."
Exact(42)
Then a well-established pattern repeated itself.
But Ecuador is now part of a well-established pattern.
There is a well-established pattern of independent-mindedness among the heirs.
The militants' technique — often more witch hunt than investigation — follows a well-established pattern.
Rebel suspicions about the missiles' uneven performance fit a well-established pattern.
Sunni extremist groups have posted warnings on militant Web sites that Ramadan would be particularly violent, repeating a well-established pattern.
Similar(18)
They are not just a product of unprecedented rainfall, but of well-established patterns of land use and river management.
Second, you must be utterly determined to break free of your well-established patterns of thinking and behaviour, and believe that you can do so completely.
Both stores said that shoppers continued to follow well-established patterns through the end of July, whether that meant buying full-priced designer items at Nordstrom or being selective about spending at Kohl's.
If nothing else, a betting strategy that at least takes notice of well-established patterns of form will have a firm foundation, which should help to eliminate all those poorly researched, whim-and-a-prayer bets that can be the eventual difference between winning and losing overall.
A poorly understood phenomenon is the sudden and unexpected change of well-established patterns of behavior (Mackie 1996).
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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