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Discover LudwigThe phrase "cast back" is correct and usable in written English.
It is most commonly used to mean a literal throwing back of something, as in throwing a fishing line back into the water. It can also be used figuratively to refer to memories or reflections on the past. For example, "When I looked at the old photo album, my thoughts were cast back to childhood."
Exact(60)
The two RSA methods and PolyWare are shadow-casting methods, that is, the radiological shadows of one or both components are cast back toward the point source of the beam to determine the relative positions of each object.
Cast back to a time long past.
Veronica Mars gets the cast back together with elegance.
In many cases, he said, the carcasses are cast back into the bloody water.
At high tide, the worn bricks were to have been cast back into the river.
But it soon becomes apparent that Mike may not be rejoining the cast back on its home turf.
This is not the first time that Jimmy Fallon tried to get the cast back together.
Here we essentially play the role of Jordan, spirited from his mum's deathbed and cast back to his childhood.
But after spending nearly four months in a two-piece fiberglass body cast back home in north Georgia, Leveille wavered.
Cast back to Nixon: Among all classes, the sobriquet of "Tricky Dick" was habitually used by the masses.
The lumpen yet shimmering surfaces create distorted reflections of anyone standing among them, like shadows cast back by a disembodied campfire.
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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