Hi Ellie, the ants are attracted by the aphids which secrete a sweet honeydew liquid, so if you can eliminate the aphids hopefully the ants will go somewhere else. I would squash the aphids and then wipe the leaves with wet kitchen paper towel to remove the sweet liquid that is attracting the ants. The underside of the leaves should be where you will find most of them and also their eggs.
A spray of very, very diluted, non anti-bacterial, washing up liquid in water is said to kill aphids. You can buy sticky aphid paper traps which might work on a balcony. Ants hate water. If you know where the nest is pour boiling water on it. I would also squash the ants but wash the area with water afterwards because I think dead ants attract others. (Probably wrong!)
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