How did Louis XIV’s forces capture Luxembourg city in 1684?

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In 1684, the French forces of Louis XIV captured Luxembourg city, completing a conquest of the duchy that had begun in 1679. The siege was orchestrated by the renowned French military engineer Sébastien Le Prestre de Vauban, who was a master of siege craft and fortifications.1243

Following the successful capture of the city, Vauban was tasked with redesigning its defensive fortifications, further strengthening what was already considered a formidable position. France held the city until 1697, when it was restored to Spain under the terms of the Treaties of Rijswijk.4312