This is quite common(not Lavender x Light but on same genetic background)
Lavender = E/E, lav/lav = Basically a solid Black chicken with recessive Lavender dilution
Light = eWh/eWh, Lav+/Lav+ Co/Co, basically a Silver Columbian based on wheaten.
Such Cross will produce E/eWh, Lav+/lav, Co/co+ and most likely both Silver based S/S. So This cross will produce Black Chicks with white underbelly and when they grow up they will produce Pseudo Silver Birchen(Silver phenotype in Sussex) looking birds.
If you had to guess how they look, just look at what Black Sex links look(which are E/eWh, Lav+/Lav+, Co/co+, s+/) but most likely silver based instead of gold