In the rules it says that the police can search for clues or make an arrest on an adjacent number to where a police pawn is located. In the example given in the rule book it seems to me (but is not all that clear) that adjacent means immediately next to a crossing. That would mean that if there is another crossing (black square) between the current location of a police pawn and a number then that number would be ineligible to be searched for clues on that turn.
Am I getting the rule right? I see a lot of videos of people playing where they are searching numbers for clues two or even three spaces away and that does not seem thematic to me and also gives the police an unfair advantage. How could a police office search for clues or make an arrest on a number that could be in some cases two blocks away?
The circle must be immediately adjacent. See the rules on page 16
Both types of actions can be undertaken in the numbered circles adjacent to that policeman pawn (i.e., in the numbered circles directly connected by dotted lines to the crossing where the policeman pawn is located). There cannot be an intervening crossing on the dotted line connecting the crossing the policeman pawn is on and the circle he wants to search for clues or make an arrest in.