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"at key points" is correct and usable in written English.
You can use it to refer to specific moments or events that are significant in some way. For example, "I discussed my research findings at key points throughout the presentation."
Exact(60)
Such an outcome seemed unlikely at key points yesterday.
Management failures at key points of the cycle were identified.
Although tubes converge at key points, no cylinder has ever gotten stuck in the system.
At key points throughout the presentation, remind them of where they are on the roadmap.
He had no money, no job, and at key points lived with his mom.
We all felt we were with them at key points in the book".
Katherine Crockett, as her attendant, reacted vividly and dramatically at key points.
At key points in "The Gulag Archipelago," this intelligence is lacking.
The red Westfield logo is affixed at key points to the street's façade.
The minimalist device consists of an adjustable frame joined together at key points called nodes.
At key points in the day, Sky dropped its commercial breaks.
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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