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The phrase "transient stage" is correct and can be used in written English
This phrase is used to describe a relatively short, yet important, time period in a particular situation. For example, "My teenage years were an exciting, yet transient stage in my life."
Exact(57)
Neymar is going through a transient stage.
To be a male model seems like a transient stage in a young man's life, a moment in front of the camera on the way to something else.
A convenient relation is obtained for <n> at transient stage.
A transient stage for the growth of Cu3Sn was observed.
It may also depend on whether or not the convection is in its initial transient stage.
At the initial transient stage (panels a d in Figs. 2, 3), the convection is layered.
The thermal and dynamic state of the interior may be in the transient stage, even today, in super-Earths.
The transient stage of oxidation is shortened and the recession of the alloy is decreased with microstructural refinement.
Similar(3)
These, together with the identification of transient, stage-exclusive gene expression, provide directions of future research in embryogenesis.
The study emphasizes that the transient-stage temperatures at the heaters can exceed the corresponding steady-state values.
With increase of applied load in each beam, the internal force flow experiences three different stages; uncracked stage, transient stage and stabilized stage as illustrated in Fig. 12.
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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