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The phrase "as they propagate" is correct and usable in written English.
It can be used in contexts discussing the spread or transmission of something, such as information, waves, or biological entities.
Example: "The researchers observed how the waves changed in amplitude as they propagate through different mediums."
Alternatives: "as they spread" or "as they transmit".
Exact(60)
But microwaves spread out as they propagate.
Waves spread out as they propagate.
Because gravitational waves squeeze space as they propagate, they make some patches slightly warmer than others.
The swirling mean motion causes refraction of the acoustic waves as they propagate along the duct.
The 47% case is choked due to attenuation of pressure waves as they propagate through particles.
Coherent phonon modes preserve their phases as they propagate through multiple interfaces.
Einstein's general theory of relativity forbids dispersion from happening in gravitational waves as they propagate from their source to Earth.
Highly energetic, boulder-rich tsunami fronts on Earth show diversion around topographic obstacles as they propagate onshore18.
With increasing displacement (strain), such folds are cut by faults as they propagate upwards into the cover.
The decrease in density of the Earth's atmosphere with increasing altitude causes radar waves to bend as they propagate through the atmosphere.
Our ears respond only to sound waves, which we sense via the vibration of molecules that are disturbed by the waves as they propagate through the air.
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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