I think that the beauty of a truly great piece of art is that it can be legitimately interpreted in many different ways, which serves to involve the audience in an important way. One can project one's own experiences and desires, albeit in many cases subconsciously, onto the piece and come away with dramatically different meanings, purposes, or realities. I believe that this film possesses this quality.
As luisacart mentioned, the nursing home scene can be seen as a physical representation of the feeling of deep, eternal love between the characters. At the same time, however, the cement itself can be seen as a metaphor for the imprisonment of the characters by their fairly controversial decision to return to one another, as psi_rover said.
I see no reason that either perspective is more or better warranted based solely on the events within the movie, so I think that both ideas are "right," depending on the viewer's subjective interaction with the film.
Additionally, the filmmakers' (or authors', poets', painters', whatever) intentions are not necessarily the only valid perspectives of a movie (or any piece of art), as saroune_bedard seems to think. Although it may be important to know and understand what the filmmakers intend, it is possible (and, in my opinion, a sign of great art) that the piece take on a life of its own, allowing the audience to interact with it in a manner similar to what I described above.
With that said:
My Vote: They Lived.
I Am: Male
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