VBA to delete specific rows in a list

I have a list of some 20 columns and thousands of rows. What I want to do is develop code that will delete an entire row if the content in column K = AJ1, and the content in column J = AK1.

This is what I have, but I cannot figure out how to make the search criteria for both columns:

Sub TestDeleteRows()
Sheets("Sheet1").Select
Dim rFind As Range
Dim rDelete As Range
Dim strSearch As String
Dim iLookAt As Long
Dim bMatchCase As Boolean

strSearch = Range("AJ1")

iLookAt = xlWhole
bMatchCase = False

Set rDelete = Nothing

Application.ScreenUpdating = False

With Sheet1.Columns("K:K")

Set rFind = .Find(strSearch, LookIn:=xlValues, LookAt:=iLookAt, SearchDirection:=xlPrevious, MatchCase:=bMatchCase)
If Not rFind Is Nothing Then
Do
Set rDelete = rFind
Set rFind = .FindPrevious(rFind)
If rFind.Address = rDelete.Address Then Set rFind = Nothing
rDelete.EntireRow.Delete
Loop While Not rFind Is Nothing
End If
End With
Application.ScreenUpdating = True
End Sub