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"waves through" is a correct and usable phrase in written English.
It means to move one's hand in a rapid, sweeping motion as a form of greeting or farewell. Examples: 1. She waved through the window, trying to catch her friend's attention as they drove away. 2. The teacher stood at the door, waving through each student as they entered the classroom. 3. He saw his grandparents at the airport and waved through the glass, excited to see them after so long. 4. The politician waved through the crowd as he made his way to the stage for his speech. 5. A warm smile spread across her face as she waved through the crowd of people she had invited to her party.
Exact(58)
This sent shock waves through Freetown.
This sent shock waves through the country.
A sweet caramel tang waves through the dining room.
"It could send shock waves through the financial services industry".
IndyMac's failure sent shock waves through Wall Street.
"His hiring sent shock waves through the cello world.
This will create shock waves through the food industry.
The column sent shock waves through the industry.
His death sent shock waves through Baghdad and Washington.
This decision will send shock waves through country clubs".
The article sent shock waves through the investment community.
Related(20)
dimensions through
intervals through
installments through
epidemics through
floods through
vouchers through
occasions through
variations through
frequencies through
expansions through
phases through
waters through
moves through
storms through
components through
exacerbations through
outbreaks through
terms through
datasets through
seas through
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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