Yes, ants have reproductive organs, though not analogous to human genitalia. The term "privates" is anthropocentric and doesn't directly translate to the insect world.
Ant Reproductive Anatomy
Male ants possess an aedeagus, a structure functionally equivalent to a penis in mammals, responsible for delivering sperm. This is supported by sources like Buzzfeed which states, "Penis is a mammal term, but ants do have an equivalent organ that delivers sperm." https://www.buzzfeed.com/mjs538/do-ants-have-dicks The external genitalia of male ants are more complex, comprising elements like the sternum IX, cupula, penisvalvae, volsellae, and parameres. https://jhr.pensoft.net/article/1620/
Female ants have corresponding reproductive structures adapted for receiving sperm and laying eggs, although these structures differ significantly from mammalian vaginas. Many sources emphasize that using human terminology like "vagina" or "penis" for insects is inaccurate due to significant biological differences. The Reddit discussion on "No Stupid Questions" highlights this biological difference, stating "Ants have a different set of biology than penis/vagina." https://www.reddit.com/r/NoStupidQuestions/comments/69661k/stupid_question_about_ants_and_other_tint_insects/
In short, while ants don't have "privates" in the human sense, they possess specialized reproductive organs essential for their survival and reproduction. The use of human anatomical terminology for describing ant reproductive structures is inaccurate and should be avoided.