The Constitutional Convention has recommended that the offence of blasphemy be removed from the constitution.
The 100-member group has voted to remove the clause and replace it with a more general provision against incitement to hatred on the grounds of religion.
The convention will now prepare a report for the government, which will have four months to respond with a plan on whether to hold a referendum.
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The convention will now turn its attention to a range of other issues being suggested by members of the public.