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"maintained over time" is a correct phrase in written English.
You can use it to refer to something that has lasted through a period of time, or has been kept the same over a period of time. For example: "The family traditions have been maintained over time, despite changes in other parts of the culture."
Exact(60)
"Seemingly random songs are maintained over time," Dr. Goodale noted.
These create expectations and accountabilities and mean that the organisational focus on energy efficiency is maintained over time.
Positive effects were maintained over time.
The difference between the control group is maintained over time.
Improvements in staff skills were maintained over time.
You need connections, people to vouch for you, a GitHub account maintained over time and more.
Labile soil carbon pools, an indicator of soil quality, were maintained over time in all systems.
How can desired mixing proportions be realized, regulated, and maintained over time?
Furthermore, these outcomes were more likely to be maintained over time.
Hopefully, through organizational learning, this effect could be maintained over time [32].
(But) we have seen changes that have been maintained over time," Prof Muir said.
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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