Yes, you’ll be fine.
Land Registry documents never expire because they don’t change over time... the copy you have from 2015 will be exactly the same as a copy you get in 2017.
It’s like a marriage certificate - you don’t get a new, updated one every year.... you just get the one on your wedding day, which remains valid for the entire length of your marriage. The Land Registry document is issued when you buy the house and then remains valid until you sell it to someone else (when a new one is issued in the new buyer’s name).
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