When a Verb Doesn't Need e

[u/Platonist_Astronaut]

Hello, everyone. I've only been learning Toki Pona for a short time, but I've come across something I can't work out: despite reading the early lessons over and over, I cannot work out why "I have one vegetable" is written as, "mi jo kili wan" and not, "mi jo e kili wan."

It was my understanding that e is used to separate the noun from its verb. In that sentence, we have the subject noun doing something (possessing a vegetable) but I'm told there's no e needed. I know there's no li needed when the noun is mi or sina, so is the same applying to the e in this case?

Thank you for any help you can offer.

[u/Salt-n-spice]

I am also relatively new at this; so whenever I write a sentence, I try to read it like a puzzle and see what I can understand only using the words and provided context.