Elves, live for centuries. But not indefinitely.
Elves who adventure begin their adventuring as adults at 114 to 170 years depending on their class. All elves age at the same rate, except Sun elves.
The age categories are
Middle Age Old Venerable End of Life
Sun Elf 210 years 315 years 420 years between 426 years and 1020 years
Other Elves 175 years 263 years 350 years between 354 and 750 years.
Elves of the venerable age category are titulated elders and younger elves defer to their vast experience and knowledge.
Players guide to Faerûn, 2004
Complete book of Elves, 1996