LINQ will only sort specific types of lists.

// Must use Linq
using System.Linq;
.
.
.
// Your list
ObservableCollection<MyObject> myList = new ObservableCollection<MyObject>();
// Your listbox
ListBox listBox = new ListBox();
// Sorting is done like this
listBox.ItemsSource = (from MyObject o in myList
                       where o.Name.ToLower().Contains(textboxNameSearch.Text.ToLower())
                       || o.Address.ToLower().Contains(textboxAddressSearch.Text.ToLower())
                       select o);

This uses both System.Linq and System.Linq.Dynamic

List testList = new List()
{
    new TestClass
        {
            ID = 1,
            Name = "David",
            Other = "other"
        },
    new TestClass
        {
            ID = 2,
            Name = "James",
            Other = "other"
        },
    new TestClass
        {
            ID = 3,
            Name = "Darren",
            Other = "some"
        },
};

string searchString = " (Name == \"James\" AND Other == \"other\") Or (Name == \"Darren\") ";

var queryResult = testList.AsQueryable().Where(searchString);

The extra Class:

class TestClass
{
    public int ID {get; set;}
    public string Name {get; set;}
    public string Other {get; set;}
}

List masterList = new List();
var list = masterList.Cast();

If you don't know the type to cast to, it becomes a bit difficult.

MethodInfo m = typeof(System.Linq.Enumerable).GetMethod("Cast").MakeGenericMethod(new Type[] { typeof(Href) });
var result = m.Invoke(typeof(System.Linq.Enumerable), new object[] { masterList });

This works just fine.
However, the result is not a list. This would not be a problem normally. You would just add a .ToList() to the end.

List masterList = new List();
var list = masterList.Cast().ToList();

This does not work the generic way. I thought another Invoke would do the trick. I could not figure out to do that.
Instead I opted for a more simple option. I created a generic method as such:

public void newMethod()
{
    var list = masterList .Cast().ToList();
}

To cast a type list you just add the type.

List<object> oList = new List<object>();
List<string> sList = new List<string>();

sList = oList.Cast<string>.ToList();