If you did split it you would have to move payload.suchen to payload for the join or state join payload.suchen.
You can also mess with msg.parts to split and join auto. Which means you do not have to add a count or send msg.complete.
Or you could use JSONata or Javascript to join.
e.g.
[{"id":"3332370c86e21b67","type":"inject","z":"d58a0e9fb6feb9d6","name":"","props":[{"p":"payload"},{"p":"topic","vt":"str"}],"repeat":"","crontab":"","once":false,"onceDelay":0.1,"topic":"","payload":"[{\"suchen\":\"test\"},{\"suchen\":\"test2\"}]","payloadType":"json","x":170,"y":120,"wires":[["cbf08cf1c66cdd2c","5b26264edc9be773"]]},{"id":"cbf08cf1c66cdd2c","type":"split","z":"d58a0e9fb6feb9d6","name":"","splt":"\\n","spltType":"str","arraySplt":1,"arraySpltType":"len","stream":false,"addname":"","x":330,"y":120,"wires":[["de616192c56f1418","fd50e927d69637d8"]]},{"id":"5b26264edc9be773","type":"change","z":"d58a0e9fb6feb9d6","name":"","rules":[{"t":"set","p":"payload","pt":"msg","to":"$join($$.payload.suchen, \";\")","tot":"jsonata"}],"action":"","property":"","from":"","to":"","reg":false,"x":300,"y":240,"wires":[["74032093f9e9f4e7"]]},{"id":"de616192c56f1418","type":"change","z":"d58a0e9fb6feb9d6","name":"","rules":[{"t":"move","p":"payload.suchen","pt":"msg","to":"payload","tot":"msg"},{"t":"set","p":"parts.type","pt":"msg","to":"string","tot":"str"},{"t":"set","p":"parts.ch","pt":"msg","to":";","tot":"str"}],"action":"","property":"","from":"","to":"","reg":false,"x":440,"y":180,"wires":[["c26e2c2b758b6426"]]},{"id":"fd50e927d69637d8","type":"join","z":"d58a0e9fb6feb9d6","name":"","mode":"custom","build":"string","property":"payload.suchen","propertyType":"msg","key":"topic","joiner":":","joinerType":"str","accumulate":false,"timeout":"","count":"2","reduceRight":false,"reduceExp":"","reduceInit":"","reduceInitType":"","reduceFixup":"","x":590,"y":120,"wires":[["014583d65b87c54f"]]},{"id":"74032093f9e9f4e7","type":"debug","z":"d58a0e9fb6feb9d6","name":"debug 313","active":true,"tosidebar":true,"console":false,"tostatus":false,"complete":"false","statusVal":"","statusType":"auto","x":570,"y":240,"wires":[]},{"id":"c26e2c2b758b6426","type":"join","z":"d58a0e9fb6feb9d6","name":"","mode":"auto","build":"object","property":"payload","propertyType":"msg","key":"topic","joiner":"\\n","joinerType":"str","accumulate":"false","timeout":"","count":"","reduceRight":false,"x":590,"y":180,"wires":[["251c9b8b9dbb4ba4"]]},{"id":"014583d65b87c54f","type":"debug","z":"d58a0e9fb6feb9d6","name":"debug 315","active":true,"tosidebar":true,"console":false,"tostatus":false,"complete":"false","statusVal":"","statusType":"auto","x":730,"y":120,"wires":[]},{"id":"251c9b8b9dbb4ba4","type":"debug","z":"d58a0e9fb6feb9d6","name":"debug 314","active":true,"tosidebar":true,"console":false,"tostatus":false,"complete":"false","statusVal":"","statusType":"auto","x":730,"y":180,"wires":[]}]