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"through homework" is a correct phrase and can be used in written English
It is typically used to indicate that something was accomplished or learned by completing homework assignments. Example: "She improved her math skills through homework practice and dedication."
Exact(16)
"He could get through homework without moving around so much".
A single human being should not be required to suffer through homework for 25 years.
JJ sifted through homework then lay down on a fold-up bed against the living room wall.
It was from there that through homework and hustle he persuaded city and racing authorities to bring a high-end competition to the city.
In the main tent, as fashionistas decreed or panned or preened, Isabelle, along with one or two of her siblings, sat at a table in the lobby, ate a few greasy slices, and plowed their way through homework.
One of my most vivid and least cheerful childhood memories is how discouraged I felt when it dawned on me that most of my peers could sit down for an hour or so at a time and plow through homework assignments without fidgeting, getting out of their chairs, pacing the floor or succumbing to the distractions of their rooms.
Similar(44)
Lastly, well thought-through homework provides uninterrupted time for a student to make sense of their own understanding at their own pace.
Edward Kostyra, a sportswear manufacturer who also dabbles in real estate, bought the house through HomeWorks for about $515,000 in 2002, at a time, he said, when half the brownstones on the block were abandoned.
On West 130th Street near Lenox Avenue, Brian Phillips, a broker for Sotheby's International Realty who recently sold the highest-priced town house in Harlem — it went for more than $3.8 million, according to property records — is now offering a 20-foot-wide house bought through HomeWorks.
Instead of rushing through your homework, take the time to actually think everything through.
I have fevers every evening, shivering through dinner, homework, bath.
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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