Maintain selection state (Multi selection) and check box state when sorting or new item added or item deleted in datagrid view virtualmode

We are using datagrid view in virtual mode to display contacts having check box column and 4 new columns.

Unable to get previous selected and checked rows when sorting or new contact or contact delete to in memory table.

My behaviour has to be When check box checked row has to select automatically and if unchecked row has to un select.

I can use tab, arrow keys and space bar to check and select the rows.

I am using c# win-forms.