According to the description, cartridges are included. And I didn't notice that none were included. I don't know how long they will last if you use them. However, I recommend always having spare cartridges to hand.
I received the printer with full cartridges. I use HP Instant Ink. This is a titenabo, so I never have to buy more cartridges and I can flexibly adjust the plan to my consumption at any time (monthly). For me, this is cheaper than buying cartridges separately.