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List<Address> addresses = loadFromDatabase();

Map<Integer, Address> sortMap = new HashMap<>();
for (Address address : addresses) {
    if (address.getLatitude() != null && address.getLongitude() != null) {
        sortMap.put(new Coords(address.getLatitude(), address.getLongitude()).hashCode(), address);
    }
}
addresses = new ArrayList<>(sortMap.values());

...
class Coords {
    ...
    @Override
    public int hashCode() {
        final int prime = 31;
        int result = 1;
        result = prime * result + latitude.hashCode();
        result = prime * result + longitude.hashCode();
        return result;
    }
}