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'Since' is used with 'ever' as an adverb. The proper way should be 'ever since'.
The correct sentence should be: I met her about ten years ago and have remembered her
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is used in different ways- (i) as an adverb of time (ii) conjunction of time (iii) preposition of time.
As an adverb, it has two meanings.
| 1) From then (i.e. from some time in the past up to now) | e.g. I met her about five years ago and have remembered her ever since. |
| 2) At or during some time between then and now | e.g. He told me last month and has spoken of it several times since. |
