Complex sentence: For the next four weeks new episodes aired in that time on Tuesdays with repeats several times throughout the night, but in June the show was moved to late-night death-slots and aired only once.
Split into simpler sentences: For the next four weeks new episodes aired in that time on Tuesdays with repeats several times throughout the night. In June, the show was moved to the late-night timeslots and aired only once.