public boolean addRealized(T value) {
        markDuplicates(value);
        return true;
    }

    @Override
    protected void clearCachedElement(Element<T> element) {
        boolean wasRealized = element.isRealized();
        super.clearCachedElement(element);
        if (wasRealized) {
            for (T value : element.getValues()) {
                markDuplicates(value);
            }
        }
    }