Search for any string / text greater than AND for string / text less than input box

What I am having such a hard time with is I want the user to be able to input a starting string and an ending string. Then I want to find any cells in A that match the starting string or greater than the starting string AND match the ending string or less than the ending string.

If there is a match on xstartlin AND a match on xendlin, then I want to loop through all the cells and find any that are equal to, greater than starting or less than ending and I want to place an X in the last column on the file and then after the X has been placed in the matched records, after the search has completed I want to copy all the rows that have an X in the column in the file to a new sheet, exactly as they are displayed on the old sheet.

I am lost on how to accomplish this. I have figured out how to get the user input and make sure it's upper case and it does find a match in my cells.find statement but after that I've tried many different things and nothing seems to work. The data could be alpha, numeric or alpha-numeric. I'm using Excel 2007. I've attached a sample file. Thank you for any assistance.
===================================================================

sub snippit_findmany()

Dim xstartlin As String
Dim xendlin As String

xstartlin = InputBox("What is the starting LIN?")
xstartlin = UCase(xstartlin)

xendlin = InputBox("What is the ending LIN?")
xendlin = UCase(xendlin)

With Sheets("INVENTORY").range("A:A")
range("A1").Select
.Offset(0, 13).ClearContents

Cells.Find(What:=xstartlin, After:=ActiveCell, LookIn:=xlFormulas, LookAt:=xlPart, SearchOrder:=xlByRows, SearchDirection:=xlNext, MatchCase:=False).Activate

==============================================================================================