Complex sentence: They played at that level until 1957 when they were relegated to the Bezirksliga where the VfL footballers remained until 1963 when the club was promoted back to the Landesliga and thereafter advanced to the Verbandsliga Westfalen-2 (III) for the first time in 1964.
Split into simpler sentences: They played at that level until 1957 when they were relegated to the Bezirksliga where they remained until 1963. They returned to the Landesliga and thereafter advanced to the Verbandsliga Westfalen-2 (III) for the first time in 1964.