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Discover Ludwig"same trajectory" is correct and usable in written English.
You might use it when you want to emphasize an ongoing path, e.g. "The two companies have followed the same trajectory since their initial launch".
Exact(59)
Game shows follow the same trajectory.
This will have the same trajectory".
Clegg seems to be on the same trajectory.
RBS should follow the same trajectory in due course.
The economy, rather unsurprisingly, has been on the same trajectory.
Now we see the same trajectory for men – celebrating individuality".
They seemed to be sharing the same trajectory.
Big news stories out of Greenwich often follow the same trajectory.
With Lee, Pryor took the same trajectory that he had followed with many women before her.
Believe it or not, Microsoft Office is following the same trajectory.
The relationships in the earliest black-and-white buddy movies followed the same trajectory.
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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