Home-care support services, including the preparation of care plans, are covered by nursing-care insurance.
Literal
Care-plan [genitive-の] preparation etc [genitive-の] home-nursing-care support business [concerning-については], nursing-care insurance [by-により] is-covered.
Bureaucratic/administrative prose. 等 (など) is the formal 'et cetera' from earlier. ~については ('as for X,' 'concerning X') is the formal version of ~について. 介護保険により is the formal passive agent marker: により is a written counterpart to ~によって. 負担される ('is borne/covered') is the passive of 負担する ('to bear the cost of'). The whole sentence has five Sino-Japanese compounds in close succession — typical of official/bureaucratic Japanese, where the dense compound style marks a document as formal and legal.