Netlify's redirects and rewrites engine allows for easy localization of websites by serving different content based on the visitor's location, reducing Cumulative Layout Shift (CLS) and improving user experience. By using a combination of Eleventy and Vue, developers can quickly create separate versions of their website for different regions, while maintaining performance and web vitals. The approach involves adding Country conditions to the `_redirects` file, which assigns a 200 status code to keep the visitor's URL intact while serving the new page behind the scenes. This method enables site owners to show pertinent information to their visitors based on their location or language, such as customer case studies or quotes.