In Rails routing, when a request URL arrives, Rails first tries to match it to a route pattern. If the pattern matches, Rails then checks any constraints defined on that route. Constraints can be regular expressions or custom logic that must be true for the route to be used. If the constraints pass, Rails calls the controller action for that route. If constraints fail, Rails skips that route and tries the next one. If no routes match, Rails returns a 404 Not Found error. For example, a route with constraints: { id: /\d+/ } only matches URLs where the id parameter is digits. URLs like /posts/123 match and call the controller, but /posts/abc do not match because the constraint fails. This helps keep routes precise and avoid unexpected matches.