彼はどうしても非を認めなかった。

he; him; his; boyfriend

topic marker particle; indicates contrast with another option (stated or unstated); adds emphasis

by all means; at any cost; no matter what; after all; in the long run; cravingly; at any rate; surely

fault; error; mistake; going poorly; being disadvantageous; being unfavorable; un-; non-; an-

indicates direct object of action; indicates subject of causative expression; indicates an area traversed; indicates time (period) over which action takes place; indicates point of departure or separation of action; indicates object of desire, like, hate, etc.

to write up