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The phrase "a long established interest" is correct and usable in written English.
It can be used to describe an interest that has existed for a significant period of time, often implying depth and significance.
Example: "The organization has a long established interest in environmental conservation, which has guided its initiatives for decades."
Alternatives: "a longstanding interest" or "a well-established interest".
Exact(1)
However, many studies have undermined this simple idea, says Professor Phil Evans, a psychologist at the University of Westminster with a long established interest in stress and cortisol.
Similar(57)
But this is a long established tendency.
The regiment was a long established one dating from 1803.
Hans Eysenck had a long-established interest in the influence of individual differences on educational attainment, noting that typically personality traits and cognitive abilities are ignored in debates regarding educational policy and practice.
This is so for middle-income Thailand and local researchers have a long-established interest in equity in health and health care as part of their development strategies (Na Songkla et al. 1997; Pannarunothai 2003; Faramnuoyphol 2005; Wibulpolprasert 2005; Seubsman et al. 2007).
At heart, though, the situation -- like state budget crises in New York, New Jersey and Illinois -- illuminates the troubles long-prosperous governments, with established interest groups and residents accustomed to high levels of services, face in adapting to protracted lean times.
It is an essential component in speaking truth to established interests.
The cliques in blogging have been long established, and at the end of the day many will find personal interest in reading a list of the top 100 blogs in their own favorite vertical.
"This has been long established".
Both tools are long established.
David Hykes was an established experimental film-maker with a long-held interest in traditional and sacred music when he formed the Harmonic Choir in 1975.
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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