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Its customers willingly pay for the company's products; the transaction makes them better off also.
A dozen of them willingly pay for CyberKnife treatments among other prostate options.
Often school districts acknowledge that they cannot provide an adequate education, and willingly pay for private tuition.
Also ruled out is the minimum-value method, which is what somebody would willingly pay for an option if they knew that the firm's share price would be fixed for the life of the option.
Cargo ships carry goods from China to Western countries and then carry scrap back in a process known as "reverse haulage". China's booming industries are hungry for plastics they do not yet produce at home, so they willingly pay for high-quality imported scrap to reuse.
Consider the assertions of widespread voter-fraud (in the case of Clinton victory), claims of Muslims celebrating 9/11 in New York, the idea to extract Middle Eastern oil as recompense for US military costs, the theory that climate change was secretly invented by the Chinese for economic gain, or that Mexico would willingly pay for a border wall.
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In the Republic's earliest days, after Barbary pirates seized American sailors off merchant ships Congress willingly paid for their release.
Rating a close second was a postdinner lagniappe that we would have willingly paid for: petite cubes of cool, smooth white chocolate cheesecake captured within dark chocolate crumbs.
Murdoch's "empire", however, is the product of millions of free citizens willingly paying for products and services that Murdoch provides them.
After Barbary pirates seized American sailors off merchant ships in the Republic's early days, Congress willingly paid for their release.
Jian, who asked that his full name be withheld lest it endanger his 20-year marriage, cavorts with his young coed in a secret apartment he owns, a price he willingly pays for the modern equivalent of a concubine.
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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