I just realized that both Sozin and Azulon were unusually old when they conceived their heirs
I was looking at the avatar wiki because I was very confused how Sozin could be Zuko's great grandfather when he was 165 years older than Zuko (on average most people's great grandparents are only 60-90 years older than them)
I realized that both Sozin and Azulon ended up having their heirs much later in life than most people. Sozin was born in 82 BG and had his only son Azulon in 0 AG, at the age of 82. Azulon went on to have his sons Iroh in 45 AG, when he was 45 years old, and Ozai in 55 AG, when he was 55.
For comparison, Ozai had Zuko in 83 AG, when he was 28, and Azula in 85 AG, when he was 30. (We don't know what year Lu Ten was born or how old he was when he died, but I would guess he was about a decade older than Zuko which would mean Iroh had him in his late 20s or early 30s)
I just think it's a really odd thing that both Sozin and Azulon had children later in life(and at a very old age for Sozin) I know it was just because they wanted Sozin to be Zuko's great-grandfather and not his great-great-grandfather or his great-great-great-grandfather, but it's still a weird little detail
To compare, Zuko was 51 when his grandson Iroh wwas born in 134 AG, which is younger than his grandfather was when his younger son, Ozai was born
BG astands for "Before Genocide", referring to years prior to the Air Nomad's genocide.
