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"a long trajectory" is correct and usable in written English.
You can use this phrase when referring to a path that is intended to be followed in order to reach a certain goal. For example, "The company is on a long trajectory to becoming the world's leading provider of self-driving cars."
Exact(25)
It has been a long trajectory.
It's a story with a long trajectory — right to the present day.
"Drinking and these art parties have a long trajectory in art history".
"I think our industry has been on a long trajectory of consolidation," he said.
This growing presence of AR results from a long trajectory of development that has been full of hits and misses.
The missing ligament and the knuckleball habit are unrelated, but, as Dickey sees it, they map a long trajectory as an outlier.
Similar(35)
First, edge-based sampling strategy may lead to tapping in local minima and also may lead to a very long trajectory with point drifting.
On one side of Leaflet No. APO-6227, for instance, a cartoon drawing represents the long trajectory of a large shell from a ship at sea to an inland village, where a human figure has been blown into the air and a grass-roofed house is bursting into pieces under the impact of the explosion.
The simulated systems were run until a 200 ns long trajectory was produced, from which the last 100 ns was used in the analysis.
That is still a vast gap — double the usual figure — but it is also a sign that the long trajectory of the election is moving voters toward their normal partisan preferences.
Therefore, a statistical approach that samples the rare transitions more effectively than a few long trajectories is required.
More suggestions(21)
had a long trajectory
a long orbital
a long orientation
a long trend
a long track
a long direction
a long history
a long career
a long evolution
a long pathway
a long journey
a long road
a long way
a long curve
a long route
a long record
a long course
a protracted trajectory
a long term trajectory
a time consuming trajectory
a new 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