Android how to save checkbox state if exit app in recyclerview adapter

I have RecycerView Adapter and checkbox in onBindViewHolder function. I need to save state "checked" or "unchecked" of checkbox if i exit app. I have tried SharedPreferences, but i cant use it in Adapter, how can i do this?

Code Adapter:

private lateinit var databaseReferenceFavorite: DatabaseReference
private lateinit var id: String

inner class ViewHolder(val binding: CarsListBinding): RecyclerView.ViewHolder(binding.root)

override fun onCreateViewHolder(parent: ViewGroup, viewType: Int): ViewHolder {
    return ViewHolder(CarsListBinding.inflate(LayoutInflater.from(parent.context), parent, false))
}

override fun onBindViewHolder(holder: ViewHolder, position: Int) {
    with(holder) {
        with(carsList[position]) {
            Picasso.with(itemView.context).load(image).into(binding.ivCar)
            binding.tvCar.text = this.name

            binding.cbFavorite.setOnCheckedChangeListener { checkBox, isChecked ->
                if (checkBox.isChecked) {
                    val image: String = this.image
                    val name: String = this.name

                    databaseReferenceFavorite = FirebaseDatabase.getInstance().reference
                        .child("Cars")
                        .child("Favorite Item")

                    val favorite = Favorite(name, image)

                    id = databaseReferenceFavorite.push().key.toString()
                    databaseReferenceFavorite.child(id).setValue(favorite)

                    Toast.makeText(itemView.context, "Item added to favorite", Toast.LENGTH_SHORT).show()
                } else {
                    databaseReferenceFavorite = FirebaseDatabase.getInstance().getReference("Cars").child("Favorite Item").child(id)
                    databaseReferenceFavorite.removeValue()

                    Toast.makeText(itemView.context, "Item removed from favorite", Toast.LENGTH_SHORT).show()
                }
            }
        }
    }
}

override fun getItemCount(): Int {
    return carsList.size
}