International-to-domestic transfer at Kiev Borispyl

In a couple of weeks I've got a trip coming up from London to Kharkiv (Ukraine) with a transfer in Kiev (same airline, same ticket). The tickets were purchased directly from the UIA website and the transfer time between arriving and departing time is 2 hours - both on the way there and on the way back.
I have been in Kiev Borispyl before - both as a final destination and as a transfer point, but previously all my transfers were international-to-international.
Having read this page on UIA website, I believe 2 hours should be sufficient, as both flights operate from the same terminal D. What I don't understand though is at what point I go through the passport control and essentially cross the border into Ukraine.
Kharkiv airport is an international airport, however it would really be weird if I didn't have to go through passport control before boarding a domestic flight.
Any first hand account of international-to-domestic (and vice versa) transfer at KBP is welcome.
Pictures about "International-to-domestic transfer at Kiev Borispyl"



How many terminals does Kiev airport have?
How many terminals does Kiev Boryspil Airport have? Boryspil International Airport has four terminals (B, D, F and VIP), of which only the new Terminal D and Terminal F are used for passenger flights.How do I get from Kiev airport to the city Centre?
Kyiv Boryspil Express operates a train from Boryspil Airport Station to Kyiv-Pas. hourly. Tickets cost 80 \u20b4 and the journey takes 38 min. Alternatively, Sky Bus operates a bus from Kiev Boryspil International Airport to Kiev Pivdennyi station every 30 minutes.Is Boryspil open?
It is one of two passenger airports that serve Kyiv along with the smaller Zhuliany Airport. Boryspil International Airport was a member of Airports Council International. On 24 February 2022, Ukraine closed airspace to civilian flights due to the Russian invasion of Ukraine, thus closing the airport.Is Kiev airport still open?
! Dear passengers, as of February 24, 2022, we inform you: work of Kyiv Sikorsky International Airport has been suspended. Airport services work in cooperation with government agencies in accordance with the instructions and current legislation of Ukraine.HOW TO GET FROM BORYSPIL INTERNATIONAL AIRPORT TO KIEV UKRIANE | BY TRANSFER TAXI BUS
Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.
Images: Ketut Subiyanto, Gustavo Fring, ArtHouse Studio, Vincent Albos