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The phrase "approximately the same frequency" is correct and usable in written English.
It can be used when discussing measurements, occurrences, or events that happen at similar rates or intervals.
Example: "The two signals operate at approximately the same frequency, making them difficult to distinguish from one another."
Alternatives: "roughly equivalent frequency" or "about the same rate".
Exact(26)
All other stages were observed at approximately the same frequency.
He once said that "conception from rape occurs with approximately the same frequency as snowfall in Miami".
Then in a large number of trials all outcomes should occur with approximately the same frequency.
An encounter between Arianna Huffington and Daddy Yankee illustrated the principle that celebrities facing a dearth of conversational options invoke the names of other celebrities with approximately the same frequency with which regular people use the word "um".
Results are also presented for an initial condition given by a superposition of two sloshing modes with approximately the same frequency from the linear characteristic equation.
And that James Leon Holmes, a federal judge currently hearing cases in Arkansas, once said that "concern for rape victims is a red herring because conceptions from rape occur with approximately the same frequency as snowfall in Miami".
Similar(34)
However, since Frey's group first reported headaches occurring after microwave energy exposure at approximately the same frequencies and incident energies that present day MP emit40, the exact mechanism under this association is still not fully understood now.
Figure 4 Two human percussionists coordinating in playing a steady beat at approximately the same frequency--when asked to coordinate, two humans will synchronize the motion of the drumsticks as if a coupling spring were effectively linking them together.
with approximately the same frequencies.
Approximately the same frequencies of IgA expressing plasma cells were noted in the interstitial areas of all three groups tested.
This suggests that these conformations absorb at approximately the same frequencies in the 2,6-difluoro derivatives, in agreement with the narrow bands observed experimentally, contrasting with the broad bands obtained for nonfluorinated and monofluorinated compounds.
More suggestions(17)
approximately the same incidence
approximately the same degree
approximately the same quantity
approximately the same band
approximately the same prevalence
roughly the same frequency
nearly the same frequency
almost the same frequency
about the same frequency
approximately the same frequencies
around the same frequency
approximately the expected frequency
approximately the same number
approximately the same output
approximately the same height
approximately the same weight
approximately the same valence
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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