SELECT 
  lnk.link_id, 
  lnk.usergroup_id, 
  lnk.status, 
  cscart_usergroups.type 
FROM 
  cscart_usergroup_links as lnk 
  INNER JOIN cscart_usergroups ON cscart_usergroups.usergroup_id = lnk.usergroup_id 
  AND cscart_usergroups.status != 'D' 
WHERE 
  lnk.user_id = 89

Query time 0.00094

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "message": "Impossible WHERE noticed after reading const tables"
    }
  }
}