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The phrase "ascertain roughly" is correct and usable in written English.
It can be used when you want to determine or find out something in a general or approximate manner, without needing precise details.
Example: "Before making a decision, we need to ascertain roughly how much the project will cost."
Alternatives: "estimate approximately" or "determine roughly".
Exact(1)
From this parameter, we are able to ascertain roughly the region of GBs on the surface.
Similar(59)
The military has defended the figures as an accurate portrayal of the violence, and figures from the Interior Ministry roughly follow similar trend lines, but the actual scope of the decrease in violence remains hard to ascertain because many attacks are never recorded.
As the GEP cohort each year consists of a roughly even split between EU, predominantly Irish/UK students, and North American students, it is also useful to ascertain if there is any evidence to suggest an overall difference in performance between these two groups.
score difficult to ascertain.
The answers are not easy to ascertain.
This number is harder to ascertain.
How do you ever ascertain that?
We will continue to speak to the victims to ascertain what this ascertained.
Today's assignation: walk to pond, ascertain beaver dam.
Occasionally, Emil made phone calls to ascertain the progress.
Unfortunately, we have been unable to ascertain this.
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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