Complex sentence: The magazine was first published on April 27,2001 under the title "Magi-Cu Premium" and kept that title for three years until 2004 when it was changed to simply "Magi-Cu".
Split into simpler sentences: The magazine was first published on April 27,2001 under the title "Magi-Cu Premium". It kept that title for three years until 2004, when it was changed to simply "Magi-Cu".