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Use List.AddRange(collection As IEnumerable(Of T)) method.
It allows you to append at the end of your list another collection/list.
Example:
List<string> initialList = new List<string>();
// Put whatever you want in the initial list
List<string> listToAdd = new List<string>();
// Put whatever you want in the second list
initialList.AddRange(listToAdd);
Use Concat or Union extension methods. You have to make sure that you have this declaration using System.Linq; in order to use LINQ extensions methods.
Use the AddRange method.