How Implantation Timing Is Calculated
After an egg is fertilized it travels down the fallopian tube for several days before attaching to the lining of the uterus. The best direct measurement of when that happens comes from Wilcox, Baird and Weinberg's 1999 study in the New England Journal of Medicine, which tracked daily hormone samples in 199 pregnancies conceived naturally. Implantation, detected as the first rise in hCG, occurred between 6 and 12 days after ovulation, and 84% of successful pregnancies implanted on day 8, 9 or 10.
From a known ovulation date, the calculator simply adds those days: ovulation on September 1 gives a possible window of September 7 to 13 and a most likely window of September 9 to 11.
From your last period, it first estimates ovulation as 14 days before the next expected period. A period that started August 28 in a 28-day cycle points to ovulation around September 11, implantation most likely September 19 to 21, and a next period due September 25. For a 35-day cycle, ovulation moves a week later and so does everything after it.