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Generally speaking, Schengen visa with long validity and multiple entries are given after a few visits on shorter, single-entry visa without overstays or incidents. Your previous Italian visa should count in your favor.
It might become problematic if your ties to your place of residence (the UK) become weak.
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In my experience (with over 6 multiple entry schengen visa's with Sri Lankan passport), the more you traveled to and out of the schengen zone the higher the chance of applying and getting a long term visa. I visited my gf in Budapest so many times, and actually ended up getting a residence permit for "other purpose" by showing our bank accounts, employment ...
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