vba remove rows based on criteria

I need a vba code that will remove rows where:

Column A is = "GR" or "HD" or "MWT" AND
Column C is <> {2,3,4,5,6,7,8}

In other words, if column A is "GR", "HD" or "MWT" column C can only be one of these numbers 2,3,4,5,6,7.
If the column A is anything else, leave the row.

Thanks very much if you can help!
Sample-FILE.xlsx
Euro5Asked:
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dsackerContract ERP Admin/ConsultantCommented:
Public Sub RemoveTheseRows()
    Dim Max     As Integer
    Dim Row     As Integer

    Max = Cells(ActiveSheet.Rows.Count, 1).End(xlUp).Row

    For Row = Max To 2 Step -1  ' We go backwards for row deleting simplicity
        Cells(Row, 1).Select
        Select Case UCase(Cells(Row, 1).Value)
            Case "GR", "HD", "MWT"
                If Cells(Row, 3).Value < 2 Or Cells(Row, 3) > 8 Then
                    Cells(Row, 1).EntireRow.Delete
                End If
        End Select
    Next Row
End Sub

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Saqib Husain, SyedEngineerCommented:
Sub delfiltered()
    Dim lastrow As Long
    lastrow = Range("C" & Rows.Count).End(xlUp).Row
    Range("D2:D" & lastrow).FormulaR1C1 = _
        "=NOT(ISERROR(FIND(""|""&RC[-3]&""|"",""|GR|HD|MWT|"")))*NOT(ISERR(FIND(""|""&RC[-1]&""|"",""|2|3|4|5|6|7|8|"")))"
    Range("A1").AutoFilter Field:=4, Criteria1:="1"
    Range("A2:A" & lastrow).EntireRow.SpecialCells(xlCellTypeVisible).Delete
    Range("A2").AutoFilter
    Range("D:D").EntireColumn.ClearContents
End Sub
Euro5Author Commented:
Thanks!
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