Here an option using a list written on some range, populating an array that will be fiiltered. The information will be erased then the columns sorted.
Sub Filter_Out_Values()
'Automation to remove some codes from the list
Dim ws, ws1 As Worksheet
Dim myArray() As Variant
Dim x, lastrow As Long
Dim cell As Range
Set ws = Worksheets("List")
Set ws1 = Worksheets(8)
lastrow = ws.Cells(Application.Rows.Count, 1).End(xlUp).Row
'Go through the list of codes to exclude
For Each cell In ws.Range("A2:A" & lastrow)
If cell.Offset(0, 2).Value = "X" Then 'If the Code is associated with "X"
ReDim Preserve myArray(x) 'Initiate array
myArray(x) = CStr(cell.Value) 'Populate the array with the code
x = x + 1 'Increase array capacity
ReDim Preserve myArray(x) 'Redim array
End If
Next cell
lastrow = ws1.Cells(Application.Rows.Count, 1).End(xlUp).Row
ws1.Range("C2:C" & lastrow).AutoFilter field:=3, Criteria1:=myArray, Operator:=xlFilterValues
ws1.Range("A2:Z" & lastrow).SpecialCells(xlCellTypeVisible).ClearContents
ws1.Range("A2:Z" & lastrow).AutoFilter field:=3
'Sort columns
lastrow = ws1.Cells(Application.Rows.Count, 1).End(xlUp).Row
'Sort with 2 criteria
With ws1.Range("A1:Z" & lastrow)
.Resize(lastrow).Sort _
key1:=ws1.Columns("B"), order1:=xlAscending, DataOption1:=xlSortNormal, _
key2:=ws1.Columns("D"), order1:=xlAscending, DataOption1:=xlSortNormal, _
Header:=xlYes, MatchCase:=False, Orientation:=xlTopToBottom, SortMethod:=xlPinYin
End With
End Sub