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Means you want to do it but circumstances make it impossible. Neutral register; the second verb must be a potential negative.
V-vol + にも + 同じ動詞の可能形の否定
〜（よ）うにも〜ない
Says the result is the same whether or not the action happens. Formal-ish, emphatic; common in written and assertive speech.
V-vol + が + V-dict + まいが（する→しまいが、来る→こまいが）
〜うが〜まいが
States that the speaker feels an emotion to the utmost degree. Formal-ish written or careful speech; only with emotion adjectives.
i-adj + 限りだ ／ na-adj + な + 限りだ
〜限りだ
Introduces an unlikely or ill-advised action and warns of a serious consequence. Emphatic, somewhat literary.
V-vol + ものなら
〜（よ）うものなら
Describes a secondary long-term activity carried on alongside one's main occupation. Formal, written register.
V-dict + かたわら ／ N + の + かたわら
〜かたわら
Sets X aside as a possible exception and asserts something different about the main case. Formal, slightly literary; often mildly critical.
N + はいざ知らず（plain clause + かはいざ知らず も可）
〜はいざ知らず
States that something has reached an extreme limit. Formal and written; used with both positive and negative nouns.
N + の極み
〜の極み
Points out an undesirable tendency someone or something has. Formal, mildly critical; common in analysis and commentary.
V-dict + きらいがある ／ N + の + きらいがある
〜きらいがある
Means the result holds regardless of N. Very formal written style; typical of rules, contracts and official announcements.
N + （の）いかんによらず／いかんにかかわらず
〜いかんによらず / 〜いかんにかかわらず
〜あっての The second N exists only thanks to the first: 'there is no B without A'. Marks an indispensable precondition; slightly formal, common in set phrases and speeches. — N + あっての + N
〜に堪えない With 見る/聞く it means too painful to watch or listen to; with emotion nouns it means overflowing with that feeling. Formal, written. — V-dict（見る・聞く・読む）+ に堪えない ／ N（感謝・感激）+ に堪えない
〜がてら Doing B while taking the chance offered by A; the two happen at once. Slightly formal but used in everyday speech about outings. — V-masu stem + がてら ／ N（動作性）+ がてら
〜かたがた Doing B while also serving purpose A, typically a visit or letter. Very formal, mostly written correspondence and business greetings. — N（挨拶・お礼・報告 など動作性の名詞）+ かたがた
一概に〜ない Denies a sweeping judgment: you can't say it applies across the board. Neutral to formal; common in discussion and writing. — 一概に + V-neg（言えない・決めつけられない など）
〜いかんで（は） Says the outcome depends entirely on N. Stiff, written or formal-spoken register, common in notices and business talk. — N + （の）いかんで（は）
〜が早いか The second action follows the first almost instantly. Written, narrative register; used for past, surprising events. — V-dict + が早いか（後件は過去形）
〜が最後 / 〜たら最後 Once the action happens, a bad or unstoppable result inevitably follows. Emphatic; 〜たら最後 is the more colloquial variant. — V-ta + が最後 ／ V-ta + ら最後
〜の至り Expresses an emotion at its peak, e.g. 光栄の至り. Very formal, set-phrase-like; used in speeches and greetings. — N（感情を表す漢語）+ の至り