Remove same numbers in listview in C#

Basically, my program generates random numbers either 1,2 or 3 and loops 9 times. I was wondering how I could remove repeated numbers from a ListView, so it would contain only 1 2 3.

Can this be done using IEnumerable.Except?

private void button3_Click(object sender, EventArgs e)
{
     Random rand = new Random();
     for (int i = 1; i < 10; i++)
     {
          lbl_Numb_1.Text = rand.Next(1, 4).ToString();
          ListViewItem lvi = new ListViewItem(lbl_Numb_1.Text);

          listView3.Items.Add(lvi);
     }
}