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Discover Ludwig"with the costs" is correct and usable in written English.
You can use it to refer to financial expenses associated with a task or activity. For example: We have to decide whether to go ahead with the project, taking into account the costs associated with it.
Exact(60)
Let's begin with the costs.
And the country is also struggling mightily with the costs.
But that is nothing compared with the costs of distraction.
Once patients receive an appointment, they are faced with the costs of treatment.
With the costs shared, it would be better value for money too.
Dealing with the costs of relocation, storm surges, and rising waters will be expensive.
We will deploy the foreign aid budget to help with the costs of these refugees".
E-residency is self-funded, with the costs coming from people who register.
It has also saddled NuCoal, Cascade and Duncan with the costs of the appeal.
"We believe the town can cope with the costs it faces and can continue to thrive.
"It helps them raise the production values and help with the costs," he says.
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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