Complex sentence: Because Australia and Canada have federal systems of government, Elizabeth also has a distinct corporation sole for each of the Australian states and Canadian provinces--for example, Her Majesty the Queen in Right of Queensland and Her Majesty the Queen in Right of Alberta.
Split into simpler sentences: Because Australia and Canada have federal systems of government, Elizabeth also has a distinct corporation sole for each of the Australian states and Canadian provinces. For example, Her Majesty the Queen in Right of Queensland and Her Majesty the Queen in Right of Alberta.