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There is nothing to worry about in this case, if the rent has been incorrectly referred to as weekly rather than monthly, that may be amended or rectified easily by a new contract page being issued or simply by crossing out weekly and replacing with monthly and all parties initialling to this.
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If it is a mistake, they can ask you for the correct rent to be paid from when it should have been paid.
You are not obliged to change this but the law would be in their favour if it was a mistake.
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