Which of the following statements is true about the two-sided Laplace transform?

1
It exists for every signal that may or may not have a Fourier transform
2
It has no poles for any bounded signal that is non-zero only inside a finite time interval
3
The number of finite poles and finite zeroes must be equal
4
If a signal can be expressed as a weighted sum of shifted one sided exponential, then its Laplace Transform will have no poles

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