This Solution work for me :
This code will remove last item in adapter after performing deletion operation in firebase realtime database.
mAcceptedList.removeAt(adapterPosition);
  mShortlistProfileAdapter.notifyDataSetChanged()
override fun onItemClicked(
    adapterPosition: Int,
    mUserListProfile: ArrayList<UserProfile>
) {
           mShortlistedProfileVM?.deleteUserProfile(mUserListProfile.get(adapterPosition))
            mAcceptedList.removeAt(adapterPosition);
            mShortlistProfileAdapter.notifyDataSetChanged()
        }
}
- To Prevent item gets duplicated.
Clear your list before adding data into list.
mAcceptedList.clear()    <---add this line of code. 
val listSize = etrieveDataResponse.userViewedProfile!!.mViewedProfileList.size
 val mListUserProfile = retrieveDataResponse.mViewedProfileList
 for (i in 0..listSize - 1) {
  if (mListUserProfile.get(i).mProfileStatus == true) {
  mAcceptedList.add(mListUserProfile.get(i))
 }
}
  showDataOnAdapter(mAcceptedList)
solved Item gets duplicated in adapter, when we delete or update item from Firebase Realtime Database