1. Jenny is in the coffee shop, drinking coffee.

2. Jenny is in the coffee shop while she is drinking coffee.

3. Jenny is in the coffee shop and drinking coffee.

4. Being in the coffee shop, Jenny is drinking coffee.

5. In the coffee shop, Jenny is drinking coffee.

6. While Jenny is in the coffee shop, she is drinking coffee.
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Are they all the same in meaning? Can we use #4? Does #4 mean #5?

They all mean the same thing.