Here are a few options for paraphrasing the input phrases, maintaining the original meaning:
Option 1 (Focus on brevity):
Logistics service provider.
Option 2 (More detail):
Third-party logistics (3PL) provider specializing in transportation and express delivery.
Option 3 (Slightly more formal):
Outsourced logistics provider offering transportation and express delivery services.
Option 4 (Emphasis on delegation):
Company specializing in the delegation of logistics, transportation, and express delivery services.