Filtered colimits commute with finite limits in any Grothendieck topos. A Grothendieck topos does not need to be locally finitely presentable; the presentability rank of a topos is tightly related to the structure of its site presentation, as shown in **Prop. 5.5** of the preprint

> **Gabriel-Ulmer duality for topoi and its relation with site presentations**, Ivan Di Liberti and Julia Ramos González, [arXiv:1902.09391](https://arxiv.org/abs/1902.09391).

Indeed I must confess a conflict of interests, as I am one of the authors of that preprint.