I have two different sentences as follows:
- I do love her.
- I really love her.
really have the same meaning or interpretation?
2. What are both of them?
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I really love her means you love her a lot. The really intensifies the emotion.
I do love her means you do, in fact, love her. The do intensifies the verb, and asserts it as fact.
I would expect the "really" version to be used when someone is deeply in love with the other person, and wants to express that fact.
I would expect the "do" would be used in less frequent situations, such as when someone is doubting that person's love:
Do you even love Jennifer?
Yes, I do love her!
although that person might also reply:
Yes, of course I love her!