Complex sentence: Because 3AK broadcast at night, Melbourne did not get any such 24 hours licences until as late as 1st February 1954, which was concurrent with 3AK changing its hours of broadcast (see below).
Split into simpler sentences: Because 3AK broadcast at night, Melbourne did not get any such 24 hours licences until as late as 1st February 1954. This was concurrent with 3AK changing its hours of broadcast (see below).