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The phrase "associations formed" is correct and usable in written English.
It can be used when discussing the relationships or connections that have been established between people, ideas, or entities.
Example: "The study revealed several associations formed between social media usage and mental health outcomes."
Alternatives: "connections established" or "relationships created".
Exact(28)
Civic associations formed.
In 1779 Gordon, previously considered insignificant, organized and made himself head of the Protestant associations formed to secure the repeal of the Catholic Relief Act of 1778.
Such associations had counterparts in the late Hellenistic world, just as they have parallels in the voluntary protective associations formed in the 19th and 20th centuries whenever official institutions of protection were either chronically or temporarily deficient.
In a series of cases challenging the membership selection criteria of a wide range of clubs and associations over the past four decades, the Supreme Court has held that the Constitution protects two kinds of associations: private or intimate associations and so-called expressive associations, formed to put forth a principle or idea.
In lobbying for the new act in 2003, a group of companies and trade associations formed the Homeland Investment Coalition and forecast that passage would help the American economy by "increasing domestic investment in plant, equipment, R.& D. and job creation".
Because in these studies actions were key-presses, it was hypothesized that attenuation might be caused by robust key-press-effect associations formed by long-term interactions with everyday devices.
Similar(30)
He said that many condo associations form a committee or hire an outside mediator, perhaps a retired judge or lawyer, to hear the dispute.
These associations form an elliptical poetry that is vintage Harrison: "I suddenly remembered my last nap using Lola" — his dog, now dead — "as a pillow out in the cherry orchard in May when the trees were blooming.
Ten lithofacies associations form these basic accretional units.
Sometimes new associations form across ethnic networks particularly when they face a common enemy.
And as we shall see shortly, psychological associations form ("model") the basic orientations of the self.
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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