Complex sentence: From the early 1930s until 1964 the service to Peaslake was run jointly with the London Passenger Transport Board; operation of the entire route was taken over in August 1964, but falling passenger numbers meant that the route was cut back in frequency a year later.
Split into simpler sentences: From the early 1930s until 1964 the service to Peaslake was run jointly with the London Passenger Transport Board. The entire service was taken over in August 1964, but falling passenger numbers meant that the route was cut back in frequency a year later.