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Yes, you can marry your first cousin - provided you are not of the same sex :)
The Marriage Act prohibits people marrying:
A person cannot marry their parent, grandparent, child, grandchild, brother or sister. However, a person may marry their aunt or uncle, niece or nephew or ‘first' cousin.
I hope this answers your question and you will click "ACCEPT" and/or ask for further clarification if required.
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