This word adjure stems from late Middle English via the Latin “adjurare,” from “ad-” meaning “to” plus “jurare” “swear” (from jus, jur- ‘oath’).

Definition of "adjure":

1. (transitive, often law) To issue a formal command.

2. (transitive) To earnestly appeal to or advise; to charge solemnly.

Examples of "adjure" in a sentence:

1. She adjured the jury to carefully consider the evidence.

2. The pastor adjured his congregation to donate to those in need.

“Adjure” could easily be mistaken for “abjure” because they sound similar. Both have the same Latin root, “jurare,” but to abjure something is to renounce it solemnly or abstain from it.

Definition of "beseech":

(transitive verb)

1. to beg for urgently or anxiously

beseeched him to write while he was away

2. to request earnestly: IMPLORE

besought their protection

Examples of "beseech" in a sentence:

1. I will fall at his feet and beseech him.

2. She agreed it was time to beseech the retired judge for help.

More Info: en.wiktionary.org