You don't SEE it in the movie, but that doesn't mean he DOESN'T in the movie. They were pretty good in keeping that kind of logic throughout the films (with the exception of Saruman and the Shire, which was only shown as what would happen if Frodo failed), when they omitted things from the books.
Sam - Elected mayor of the Shire seven times and has several children. After Rosie dies, he goes over the sea as the "last of the Ring-bearers."
Merry - Made master of Buckland. He and Pippin return to Gondor in their old age and are laid to rest among the heroes of the realm.
Pippin - Marries, fathers a son named Faramir, who eventually weds Sam's daughter Goldilocks.
Aragorn - Weds Arwen, and later declares the Shire off-limits to men. More than 120 years after the defeat of Sauron, he dies.
Arwen - Has a son and daughter with Aragorn. After his death, she goes to the now-abandoned woods of Lórien to live, and eventually die, alone.
Éowyn - After returning to Rohan to bury King Théoden, she marries Faramir, now Steward of Gondor.
Éomer - Reigns over Rohan for 65 years, and remains Aragorn's good friend and ally.
Gimli - Explores the forests and caverns of Middle-earth with Legolas; brings fellow dwarves to help rebuild Minas Tirith.
Legolas - Dwells near Gondor until the passing of King Aragorn; takes Gimli with him over the sea to the Undying Lands.
See? Sad. Just one question though. What exactly is the Undying Lands, and why don't people like Aragorn, Arwen, Merry and Pippin go?
