[excel] How to use AND in IF Statement

Brief syntax lesson

Cells(Row, Column) identifies a cell. Row must be an integer between 1 and the maximum for version of Excel you are using. Column must be a identifier (for example: "A", "IV", "XFD") or a number (for example: 1, 256, 16384)

.Cells(Row, Column) identifies a cell within a sheet identified in a earlier With statement:

With ActiveSheet
  :
  .Cells(Row,Column)
  :
End With

If you omit the dot, Cells(Row,Column) is within the active worksheet. So wsh = ActiveWorkbook wsh.Range is not strictly necessary. However, I always use a With statement so I do not wonder which sheet I meant when I return to my code in six months time. So, I would write:

With ActiveSheet
  :
  .Range.  
  :
End With

Actually, I would not write the above unless I really did want the code to work on the active sheet. What if the user has the wrong sheet active when they started the macro. I would write:

With Sheets("xxxx")
  :
  .Range.  
  :
End With

because my code only works on sheet xxxx.

Cells(Row,Column) identifies a cell. Cells(Row,Column).xxxx identifies a property of the cell. Value is a property. Value is the default property so you can usually omit it and the compiler will know what you mean. But in certain situations the compiler can be confused so the advice to include the .Value is good.

Cells(Row,Column) like "*Miami*" will give True if the cell is "Miami", "South Miami", "Miami, North" or anything similar.

Cells(Row,Column).Value = "Miami" will give True if the cell is exactly equal to "Miami". "MIAMI" for example will give False. If you want to accept MIAMI, use the lower case function:

Lcase(Cells(Row,Column).Value) = "miami"  

My suggestions

Your sample code keeps changing as you try different suggestions which I find confusing. You were using Cells(Row,Column) <> "Miami" when I started typing this.

Use

If Cells(i, "A").Value like "*Miami*" And Cells(i, "D").Value like "*Florida*" Then
  Cells(i, "C").Value = "BA"

if you want to accept, for example, "South Miami" and "Miami, North".

Use

If Cells(i, "A").Value = "Miami" And Cells(i, "D").Value like "Florida" Then
  Cells(i, "C").Value = "BA"

if you want to accept, exactly, "Miami" and "Florida".

Use

If Lcase(Cells(i, "A").Value) = "miami" And _
   Lcase(Cells(i, "D").Value) = "florida" Then
  Cells(i, "C").Value = "BA"

if you don't care about case.