These are abandoned completely by the Non-Returner (Anāgāmi).
Personality View (Sakkāya-diṭṭhi): The belief in a permanent self or soul within the five aggregates (form, feeling, perception, mental formations, consciousness).
Doubt (Vicikicchā): Uncertainty or skepticism regarding the Buddha, the Dhamma (teaching), the Sangha (community), and the training.
Adherence to Rules and Observances (Sīlabbata-parāmāsa): The belief that mere performance of rituals, rites, or ascetic practices alone can lead to liberation.
Sensual Desire (Kāmacchanda): Lust or craving for sensual pleasures (sights, sounds, smells, tastes, touches).
Ill-will (Byāpāda): Anger, hatred, or aversion towards others.
Note from your text: This is managed by "Removing" (not tolerating thoughts of ill-will).
These are subtle attachments that remain even after one has transcended sensual desire. They are only abandoned by the Arahant.
Lust for Material Existence (Rūpa-rāga): Craving for rebirth in the fine-material worlds (the realms of the jhānas).
Lust for Immaterial Existence (Arūpa-rāga): Craving for rebirth in the formless realms.
Conceit (Māna): The subtle sense of "I am" or comparing oneself to others (better, worse, or equal).
Restlessness (Uddhacca): Mental agitation or distraction (often regarding the Dhamma itself at this stage).
Ignorance (Avijjā): Fundamental unawareness of the Four Noble Truths.