Here's what I did:
1) As I noted above, it will be important for your dates to be true date serial numbers and not text strings. Your "dates" are text strings, so I used the DATEVALUE() function to convert the text strings to date serial numbers (again, review the link above if you are unfamiliar with how Excel stores and uses dates and times).
2) With the dates converted to serial numbers, I rearranged the data into a table like
3) Select this table and insert a line chart
3a) In my copy of Excel, Excel did not recognize that the dates should be the x axis data, so I opened the select data dialog and made sure that the column of dates was the horizontal axis data.
4) Format the axis so that the base unit is days, and the major unit is 1 month.
5) Other formats as needed.
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