If I have already filed for probate in another state, do I have to file a probate case in Florida if there is personal property of the estate in Florida, but no real property?

When a nonresident decedent dies with a Will in another state and leaves property, other than real property in Florida, which has a value less than $50,000.00, and two years have not passed since the death of the decedent; the personal representative of the estate can file a transcript of the foreign probate case and a copy of the Will to show the beneficiaries.