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Discover LudwigSuggestions(5)
The phrase 'in the same direction with' is correct and can be used in written English.
It is used to describe when two or more things are happening in the same direction or moving in the same direction. For example, "The wind and the clouds were moving in the same direction with the birds."
Exact(60)
We were heading in the same direction, with superlative vistas piling up one after the other.
It's going to be about getting a team delivered and heading in the same direction, with the same goals".
She looks up and gestures in the same direction with one arm, not to any Christian deity but to a magic rain of gold coins falling toward her.
With an open flat belt, both shafts rotate in the same direction; with a crossed belt they rotate in opposite directions.
A beam of unpolarized light consists of waves moving in the same direction with their electric vectors pointed in random orientations about the axis of propagation.
Most major league stadiums are oriented roughly in the same direction, with the line from home plate to center field pointing somewhere between directly north (Colorado's Coors Field) and directly east (Yankee Stadium).
Chrysler, the smallest of the Detroit car companies, has been slower to make the changes, but with the help of its Italian partner Fiat it is headed in the same direction, with a new compact model expected next year.
The gingiva moves in the same direction with the tooth, yet considerably less.
As a result, adjacent houses tend to be tilted in the same direction with a lateral spreading direction.
Then, the graphite left on the photoresist was repeatedly peeled 10 times in the same direction with tape.
The factor of common fate groups the objects if they move in the same direction with the same speed.
More suggestions(15)
in the axial direction with
in the same league with
in the same category with
in the same house with
in the transverse direction with
in the wrong direction with
in the same war with
in the superior direction with
in the same lunchroom with
in the same sentence with
in the right direction with
in the same list with
in the distal direction with
in the other direction with
in the same room with
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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