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Discover Ludwig"their trajectory" is a correct and usable phrase in written English.
It is used to refer to the path or direction that someone or something is taking. For example: "Their trajectory in life seemed to be heading in opposite directions, as she pursued her dreams while he settled for a mundane job." "The rocket's trajectory was carefully calculated by the engineers to ensure a successful launch." "Despite facing many obstacles, the company's upward trajectory continued to impress investors."
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What has been the impact of globalization on their trajectory?
France cannot do yo-yo now – their trajectory must be regular and upwardly steep.
For months, the two men studied satellite images of Brazil, honing their trajectory.
More important than absolute levels of debt may be their trajectory.
A good example is his simulation of a cannon firing cannonballs to study their trajectory.
Even where democratic reforms have been imposed, their trajectory appears more cyclical than linear.
The targets are moving and their trajectory are subject to uncertainty.
Despite much bloviating about ecstatic experience and a slew of odd mishaps, their trajectory remains fiercely, archaically conventional.
Theater systems can spot incoming missiles early in their trajectory and target them high in the atmosphere.
In an emergency, the crew, led by Malenchenko, had the ability to alter their trajectory with a hand controller.
Rather than seeing these institutions as threats, the U.S. should welcome them and cooperate with China to shape their 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