In certain years, July, a month with 31 days, has exactly 4 Mondays and 4 Fridays. The first of July in those years will be on:

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Every 7 days, there will be a Monday and Friday.

After 28 days, there will be 4 Mondays and 4 Fridays.

The next three (29th, 30th, 31st) days will be start of the 5th week. If these three days are Tuesday, Wednesday, and Thursday, then there will only be 4 Mondays and Fridays in the month. Therefore, each week should start with Tuesday.