The invention relates to a method (100) for producing a separation product, containing predominantly hydrocarbons with two carbon atoms, using a separation feed which contains predominantly methane, hydrogen and hydrocarbons with two carbon atoms, wherein the methane content of the separation feed is up to 20% and the separation feed is provided in a gaseous state. According to the invention, theseparation feed is partially condensed once at a first pressure level by cooling from a first temperature level to a second temperature level, while producing exactly one first liquid fraction and exactly one first gas fraction; at least one part of the first gas fraction is partially condensed once at the first pressure level by means of further cooling from the second temperature level to a third temperature level, while obtaining exactly one second liquid fraction and exactly one second gas fraction; at least one part of the second gas fraction is subject to a counter flow absorption in thecounter flow to a predominantly methane-containing absorption fluid, at the first pressure level and while obtaining exactly one third liquid fraction and exactly one third gas fraction; the first, the second and the third liquid fractions are at least partially combined and at least partially subject to a low-temperature rectification process at a second pressure level above the first pressure level, while obtaining a sump fluid and an overhead gas; at least one part of the overhead gas is partially condensed once at the second pressure level by means of further cooling from the second temperature level to the third temperature level, while obtaining a fourth liquid fraction and a fourth gas fraction; and the predominantly methane-containing absorption fluid is formed by further coolingof at least one part of the fourth gas fraction to a fourth temperature level. The invention also relates to a corresponding system.