I tried to show items without duplicate in List Box.
private void Lst_Box_SelectedIndexChanged(object sender, EventArgs e)
{
    if (Chk_Multi.Checked == true)
    {
        Lst_Box.SelectionMode = SelectionMode.MultiSimple;
        if (Lst_Box.SelectedItem == "Janvier")
        {
            Lst_Selected.Items.Add(Lst_Box.Text);
        }
    }
    if (Chk_Multi.Checked == false)
    {
        Lst_Box.SelectionMode = SelectionMode.One;
        Lst_Selected.Items.Add(Lst_Box.Text);
    }
}

 
     
     
    
