I heard the word Adhi-Vyadhi (ఆధివ్యాధులు) several times in preachings as well as in scriptural books.
Example: From Sloka 3
What is the exact meaning for that word?
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It means "sorrow and disease".
From Apte dictionary:
Definition: आधिः m. [आधीयते स्थाप्यते प्रतीकाराय मनो$नेन, आ-धा-कि P.III.3.92; connected with आध्यै in some senses] 1 Mental pain or anguish, agony, anxiety (opp. व्याधि- which is bodily pain);
Here's an example from Mahābhārata:
10 tato 'vardhanta dharmeṇa sahasraśatajīvinaḥ
tāḥ prajāḥ pṛthivīpāla dharmavrataparāyaṇāḥ
ādhibhir vyādhibhiś caiva vimuktāḥ sarvaśo narāḥ
K M Ganguli's translation:
And, O protector of the earth, hundreds of thousands of creatures were born, and all were virtuous and began to multiply in virtue, all being free from sorrow and disease.
acauraś caura śaṅkāyāṃ śūle bhinno hy ahaṃ yadā
tatrasthena stuto devaḥ prāha māṃ vai maheśvaraḥ
34 mokṣaṃ prāpsyasi śullāc ca jīviṣyasi samārbudam
rujā śūlakṛtā caiva na te vipra bhaviṣyati
ādhibhir vyādhibhiś caiva varjitas tvaṃ bhaviṣyasi
Mandavya said,--'In former times though not a thief and yet wrongly suspected of theft, I was impaled (under the orders of a king). I then adored the illustrious Mahadeva who said unto me,--Thou shalt soon be freed from impalement and live for millions of years. The pangs due to impalement shall not be thine. Thou shalt also be freed from every kind of affliction and disease.
VyAdhi means disease, ailment etc.
See a dictionary:
व्याधि m. vyAdhi illness
व्याधि m. vyAdhi ailment
व्याधित adj. vyAdhita sick
व्याधीयमान adj. vyAdhIyamAna ailing
व्याधी f. vyAdhI care
व्याधी f. vyAdhI sorrow
व्याधि m. vyAdhi plague
व्याधि m. vyAdhi disease
If there is Dirgha-E kara at the end then the meaning is different (sorrow, care).
From the last stanza of the Phala Sruti of the Surya Ashtakam:
Sthree thails madhu maamsani.,
Yasth yejathu raver dhine,
Na vyadhi soka dharidhryam,
Surya lokam sa gachathi.
One who forsakes on all Sundays, Woman oil bath, meat and drinks, Will never be sick nor sad nor poor. And would reach the land of sun after death.