滞る and 停滞: delayed flow, stalled work, and an avoidance goal
Compare delayed deliveries and payments two months behind with a week of stalled construction and issues organized to avoid stagnating discussion.
滞る: deliveries or payments falling behind
滞る (とどこおる) means be delayed or fall behind. 「大雪のため荷物の配送が滞っている。」 means “Heavy snow has delayed package deliveries.” Heavy snow is delaying deliveries. 滞っている gives the current delayed state, rather than saying delivery has stopped forever or all packages have been lost.
「支払いが二か月も滞っていたため、担当窓口へ相談した。」 means “After the payments had fallen two months behind, I consulted the service desk.” The payments had fallen two months behind, so the speaker consulted the service desk. 二か月 gives the delay's duration and 相談した reports a consultation, without proving that payment was resolved or permanently impossible.
停滞: stalled construction and an avoidance goal
停滞 (ていたい) means stagnation or delay. 「工事が資材不足で一週間停滞した。」 means “Construction stalled for a week because materials were unavailable.” Construction stalled for a week because materials were unavailable. 一週間 gives the stated duration, and the cause is a shortage of materials. Do not extend that week into indefinite stagnation.
「議論の停滞を避けるため論点を整理した。」 means “We organized the issues to keep the discussion from stagnating.” The issues were organized to prevent the discussion from stagnating. 避けるため gives the purpose of that action; it does not establish that the discussion was already stalled or that a stall was fully resolved.
Keep stated periods and avoidance goals distinct
The 滞る examples emphasize delivery or payment falling behind; the construction example with 停滞 emphasizes stalled movement. These meanings can overlap. The aim of avoiding 停滞 in discussion is distinct from reporting a present stalled state.
The two-month payment delay and the one-week construction stall have separate durations. Consulting the desk and organizing issues are also different actions, without a resolved outcome to transfer between examples.
What state or goal is expressed by 支払いが二か月も滞っていた and organizing issues to avoid 議論の停滞?
Show the answer and why
The first gives a two-month payment delay and a resulting consultation. The second gives the aim of preventing a stalled discussion, without confirming that it is already stalled. Neither the stated duration nor the avoidance goal should become permanent nonpayment or a confirmed resolution.

