If you have an unsolved smuggling case, can you go through the border checkpoint?

Of course. If there are unsolved cases of illegal immigrants who are not restricted from leaving the country, they can pass through the border checkpoint. The frontier inspection station is an administrative activity that the state inspects and supervises the entry-exit personnel, vehicles and their luggage and articles according to law through the entry-exit frontier inspection organs (and entry-exit frontier inspection stations) located at ports open to the outside world.