Sweet Thai Basil has purple stems, and leaves can turn purplish. The flavour isn't like lemon, but then I don't imagine lemon cleaner is either. What colour are the flowers?
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It is possible for tender things to survive very cold conditions if conditions allow. After our very harsh winter of 2010/11 where we had constant temps below freezing for 7 weeks, down to around -17C, I found two apples in perfect condition which were covered by a few leaves.
This article on Basil might help ..
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