Because its a timeless place, you never really get bored.
Nope. It still shared the same characteristics as the rest of Arda, including time. The difference being that one Valian Year was equivalent to just over 9 years of the sun.
For Aman was within Arda and therfore within the time of Arda...Therefore Arda and all things in it must age....
Myths Transformed; HoME 10
On the actual question, M.T has some answers:
But since Aman was made for the Valar...all those creatures that were thither transplanted or were trained or were bred or brought into being for the purpouse of inhabiation in Aman were given a speed of growth such that one year of their kinds on earth should in Aman be in one year
We can see that Tolkien was hinting at the longeveal life of animals/plants in Aman. So, if we take the 1 Valian Year is equivalent to 9 Y.O.S, then 'life' in Aman would be nine times longer then that of M-E. This was done so they could fit in with the 'slow' growth of Aman, and also for the Elves:
For the Eldar this was a source of joy. For in Aman the world appeared as it does to Men on Earth, but without the shadow of death soon to come. Whereas on Earth to them all things in comparison to themselves are fleeting....while flowers and birds would be born and die in loar and loar under the wheeling Sun.
So there was death in Aman, but it only aplied to animals/flower with no fea. As Finrod himself tells
Andreth, though their passing was mourned it wasn't a tragedy on the level of the death of a incarnate.
Curiosity is insubordination in its purest form-Vladimir Nabokov
Do not read as children do to enjoy themselves, or, as the ambitious do to educate themselves. No, read to live. -Gustave Flaubert
We are not provided with wisdom, we must discover it for ourselves, after a journey through the wilderness which no one else can take for us, an effort which no one can spare us.-Marcel Proust
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