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The phrase "at a threshold" is correct and usable in written English.
It can be used to describe a point of entry or a critical moment of change or decision.
Example: "The company is at a threshold of significant growth, and we must make strategic decisions to capitalize on this opportunity."
Alternatives: "on the brink" or "at the verge".
Exact(60)
WOMAN AT A THRESHOLD, BECKONING, by John Guare; directed by Will Pomerantz.
"Los Angeles," Maltzan believes, "is at a threshold.
"We may be at a threshold," Dawkins told me recently.
"We are at a threshold," declares the text panel at the start of this show.
This whole pattern of things fits together with the idea that you're at a threshold.
Fisher's exact tests were implemented at a threshold p-value of 0.05.
Onset temperatures were determined using pressure rise measurement at a threshold value.
High, low and mean flows were impacted at a threshold of a 10% total impervious area.
Stimulated lymphocyte T and B proliferation was significantly decreased at a threshold concentration of 0.3%.
You'd sideline the institutional donations, and restrict contributions to individuals at a threshold no higher than $1,000.
In conclusion, the world's digital economy stands at a threshold where opportunity and risk stand in balance.
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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