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Discover Ludwig'are unstable' is correct and usable in written English.
You can use it to describe an unpredictable situation or something that is constantly changing, or to describe a person's emotions or mental health. For example, "The markets are unstable right now, so it's best to exercise caution when investing."
Dictionary
are unstable
adjective
Having a strong tendency to change.
Exact(60)
Landfills are unstable".
But such partnerships are unstable.
Pure democracies, they believed, are unstable.
But most of the album's domestic affairs are unstable.
Masks fall away; selves are unstable as water.
Many are unstable and could explode with the slightest bump.
The other quarks—"strange", "charm", "bottom" and "top"—are unstable.
And the reason that those families are unstable?
These tetramers are ineffective in delivering oxygen and are unstable.
Critical: Vital signs are unstable and not within normal limits.
His relations with his Arab neighbors are unstable.
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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