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The phrase "the time interval between" is grammatically correct and commonly used in written English.
It is used to refer to a specific amount of time that passes between two events or points in time. Here is an example of its usage: "The time interval between the first and second quarter of the game was filled with intense back-and-forth action."
Exact(60)
–On average, how long is the time interval between manufacture, consumer use, and disposal?
The monitor can be set to reflect the number of glasses drunk and the time interval between them.
Travel time also is affected by the frequency of service, the time interval between vehicles.
The time interval between steps ranges from 10 to 50 microseconds (millionths of a second).
The time interval between injury and admission averaged 1.4 days.
where Δt is the time interval between two adjacent frames.
The time interval between two successive images was 40 s.
Δt is the time interval between t-1 and t.
The time interval between screenings after a screening without pathological findings is unclear.
The degree of alteration was dependent on the time interval between the injections.
The time interval between the two waves of data collection was approximately six weeks.
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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