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Is this correct grammar?

A. She is not my sister, but she is my cousin.
or
B. She is not my sister, but my cousin.

Is both A and B correct or only B?
Comments  
There may be some justification for but in some contexts but I would simply leave it out and say: She is not my sister, she is my cousin.

CB
Cool BreezeThere may be some justification for but in some contexts but I would simply leave it out and say: She is not my sister, she is my cousin.

CB
Without a conjunction or ";", this is a run-on sentence. Both of the original sentences are correct.
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If you are planning to use example 'B', you should remove the comma. Thus, the sentence should read, "She is not my sister but my cousin."
Philip
Cool BreezeThere may be some justification for but in some contexts but I would simply leave it out and say: She is not my sister, she is my cousin.

CB
Without a conjunction or ";", this is a run-on sentence. Both of the original sentences are correct.
Hi Philip

I have no idea what a run-on sentence is, or what a run-in or a run-out sentence is, for that matter.Emotion: smile I didn't say the original sentences were wrong, either. I was just wondering about the use of the conjunctionbut and to me the sentence seemed better without it.

CB
Cool Breeze
Philip
Cool BreezeThere may be some justification for but in some contexts but I would simply leave it out and say: She is not my sister, she is my cousin.

CB
Without a conjunction or ";", this is a run-on sentence. Both of the original sentences are correct.
Hi Philip

I have no idea what a run-on sentence is, or what a run-in or a run-out sentence is, for that matter.Emotion: smile I didn't say the original sentences were wrong, either. I was just wondering about the use of the conjunctionbut and to me the sentence seemed better without it.

CB
A sentence is called a run-on when the lack of punctuation combines elements that would normally be put in more than one sentence.
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A is the correct choice. You can confirm this when you can re-write two completely separate sentences. She is my sister. She is my cousin. But is an interjection that will joint both sentences making it one. Remember a sentence has a subject, a verb, and a complete thought. It starts with a capital letter and ends with a period. I hope you find my reply to be helpful.
I think you mean 'conjunction', not 'interjection', vijay. Both original sentences, as has been said, are grammatically possible, but some better suggestions have been made.