I'm not sure what you mean by normal borders, but you can customize the code with your border preferences. Here's an example:
Sub NormalBorders()
With Selection
.Borders(xlDiagonalDown).LineStyle = xlNone
.Borders(xlDiagonalUp).LineStyle = xlNone
.Borders(xlEdgeLeft).LineStyle = xlNone
.Borders(xlEdgeTop).LineStyle = xlNone
.Borders(xlEdgeBottom).LineStyle = xlNone
.Borders(xlEdgeRight).LineStyle = xlNone
.Borders(xlInsideVertical).LineStyle = xlNone
.Borders(xlInsideHorizontal).LineStyle = xlNone
End With
End Sub
For a single line border use:
.Borders(xlEdgeBottom).LineStyle = xlContinuous
.Borders(xlEdgeBottom).LineStyle = xlThin
Or why not just record a macro, making the border style exactly how you want it, and then use that code?
-Ben