Wash the lemons in hot water, pat dry and wrap individually in one layer of aluminum foil.
Place lemons in a preheated oven at 150 °C/ 302 ℉ (heat from top and bottom) cook 1.5 hours.
Remove the lemons from the oven and let them rest for 15 minutes in the tin foil.
Then carefully peel the lemons, remove any pith from the skin and finely dice the skin.
Remove the white pith and dice the flesh. Make sure that no pith is used (it is bitter).
Add the lemon peel and the flesh into a pot and stir.
Fold together the agar-agar and the sugar mix.
Fold the agar-agar and sugar into the lemon mix.
Boil the mixture while stirring, then remove the pot from the heat.
Add the mixture into a blender jug and let it cool.
Add olive oil and freshly squeezed lemon juice and puree.
Separate 100 g ( about 3 ½ ounces) of lemon puree and chill.