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"tracing the path" is a correct and usable phrase in written English.
In the sentence, it is used to refer to the act of following a route or route of progress. For example, "They embarked on a mission to explore the depths of the ocean by tracing the path of an ancient shipwreck."
Exact(52)
Walkways cleared by teenagers take meandering routes, as if tracing the path of least resistance.
AudioBoo also plotted each one of Weaver's interviews on a larger map, tracing the path of the demonstrations across London.
The men quickly resumed tracing the path of their forebears, which had long since been obliterated by the windswept ice.
He remembered his father tracing the path of Pickett's Charge, mapped in his mind by accounts he had read in a novel, "The Killer Angels".
I stood there for a while, tracing the path of a low-flying plane, when I received a text message from my daughter, Jesse.
In 1935, he was asked by H. Desmond Martin, a military historian, to undertake a trip across China tracing the path of Genghis Khan.
Similar(7)
They sit close together at their table command post, tracing the paths of their stubborn activism.
"Butterfly" processed the individual graphs in parallel, tracing the paths based on reads and pair-end information, ultimately reporting full-length transcripts for alternatively spliced isoforms.
Hands open into flowers; fingers fold into thorns or trace the path of a tear.
So my initial objective was modest: to trace the path backward, from Pennsylvania to Sicily.
These stars trace the path that Sgr is thought to have followed.
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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