This is the 7855th most frequent Russian word.
калужскую
"Kaluzhskuyu" is the accusative singular feminine form of "Kaluzhskaya," meaning "Kaluga" (relating to Kaluga, a city or region in Russia).
Here, 'Калужскую' functions as an adjective derived from 'Калуга', denoting the Kaluga region, in the accusative case due to the verb 'посетить' (to visit) followed by a direct object.
Мы планируем посетить Калужскую область в следующем месяце.
We are planning to visit the Kaluga region next month.
In this usage, 'калужскую' modifies 'культуру' (culture), showing possession or relation to Kaluga, in the accusative case as it is a direct object of the verb 'представлены' (featured).
На выставке представлены калужскую культуру и традиции.
The exhibition features Kaluga's culture and traditions.
Here, 'калужскую' modifies 'историю' (history), indicating its relation to Kaluga, in the accusative case following the preposition 'про' which requires the accusative case.