A duchy often has historical significance and links to the royal family. The duchy of Cornwall provides income for the Prince of Wales.
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Not a Country
Do not confuse a duchy with a country; it's a subdivision, usually within a country. Though the duchy of Luxembourg existed, it eventually became a separate country.
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Cultural References
Duchies are prominent in historical and fantasy literature, often symbolizing wealth or power. In the novel, the hero travels to a duchy to seek an audience with the duke.