I have lived here for 17 months and he only gave me a telephone call saying I have to vacate in 60 days. He must not be aware he needs to give me written notice.
Your are correct in understanding that your landlord needs to give you the 60 day notice in writing. If you need more time to find a place you can claim the notice is defective. His defective notice likely does not relieve you of your duty to give 30 days notice that you are going to vacate.
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Your landlord's verbal request is not a legal eviction notice. I would not assume that was a legal eviction notice and I recommend that you give your landlord 30 days written notice if you plan to move out.
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