Sections of the Tatler article about the Duchess of Cambridge were deleted months after a rare, blistering rebuke by the palace.
The Duke of Sussex's 36th birthday is a particularly meaningful one for the prince.
Kate Middleton launched the project, called "Hold Still," back in May.
The Duchess of Cambridge's little sister has made headlines with her fashion choices.
We love a safe and stylish duchess.
"If only everyone was as honest as her," the Duke of Cambridge joked.
"It didn’t go well,” said the Duke of Cambridge.
"According to a source, Kate felt they didn’t have much in common ‘other than the fact that they lived at Kensington Palace,'" report Omid Scobie and Carolyn Durand.
Kate Middleton, the Duchess of Cambridge, took the pictures to commemorate the royal's seventh birthday.
The Duchess of Cambridge also snapped a sweet photo of William and Prince Charles for Father's Day.