I am not even sure that Beren and Lúthien got new hora (bodies) at all. Porbably they were simply send back to their old bodies. This Oute from the Silmarillion; Chapter 20 implies that in my interpretation
Quote:
It is said that Beren and Lúthien returned to the northern lands of Middle-earth, and dwelt together for a time as living man and woman; and they took up again their mortal form in Doriath.
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For Beren that would of course have involved a healing of the wound from Carcharoth that killed him. But I would think that in this case it was a marvelous healing not a reincarnation into a fresh made body. In Lúthien caase this would not have been any problem since earlier in the Silmarillion Chapter 19 it is said:
Quote:
But the spirit of Lúthien fell down into darkness, and at the last it fled, and her body lay like a flower that is suddenly cut off and lies for a while unwithered on the grass.
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Which can only mean that Lúthein body was still functionable when she returned.
Respectfully
Findegil