In the birth chart of Boy Mars is placed in the second house from the lagna while in the Moon chart Mars is placed in seventh house from the Moon. Hence Boy is Mangalik from the Birth Chart and also Chandra Mangalik from the Moon Chart.
In the birth chart of Girl Mars is placed in the third house from the lagna while in the Moon chart Mars is placed in ninth house from the Moon. Hence Girl is not a Mangalik from the Birth Chart as well as from the Moon Chart.
This is not good. Need to check mangal dosha cancellation. There is also Nadi dosha and Gana Dosha. Which means it is not a strong relationship. Marriage should be done only of the above doshas get cancelled. You can visit the link for detailed Kundali Milan report.
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Blessings,
Navneet Khanna
Astrologer