Complex sentence: The team is administered by the Queensland Rugby League and regularly played its home matches at Suncorp Stadium, until 2015, when they starting playing at Brisbane's Langlands Park (now known as Suzuki Stadium).
Split into simpler sentences: The team is administered by the Queensland Rugby League and usually plays its home matches at Suncorp Stadium. In 2015, they played a home fixture at Brisbane's Langlands Park (now known as Suzuki Stadium).