I'm not sure. DH & I paid for pest control at one house we lived at as the issue was becoming disgusting and we figured it was more for us than anything else. The real estate didn't ask us to have the house pest controlled again when we left which was great.
At the last house we were at, the real estate arranged pest control after we had been there for a year. Apparently the pest control was done by the owner just before we moved in also. We didn't have to arrange for pest control to be done when we moved out.
We're about to arrange pest control on the house we're currently in as we're getting ants & spiders that are coming indoors (look like white tail/white tip spiders) and we're happy to pay for it.